{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Demo - Black Box Attack (CIFAR10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import sys\n",
    "import numpy as np\n",
    "\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "from torch.utils.data import DataLoader, TensorDataset\n",
    "\n",
    "import torchvision.utils\n",
    "from torchvision import models\n",
    "import torchvision.datasets as dsets\n",
    "import torchvision.transforms as transforms\n",
    "\n",
    "import torchattacks\n",
    "from torchattacks import PGD\n",
    "\n",
    "from models import Holdout, Target\n",
    "from utils import imshow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Files already downloaded and verified\n",
      "Files already downloaded and verified\n"
     ]
    }
   ],
   "source": [
    "batch_size = 24\n",
    "\n",
    "cifar10_train = dsets.CIFAR10(root='./data', train=True,\n",
    "                              download=True, transform=transforms.ToTensor())\n",
    "cifar10_test  = dsets.CIFAR10(root='./data', train=False,\n",
    "                              download=True, transform=transforms.ToTensor())\n",
    "\n",
    "train_loader = torch.utils.data.DataLoader(cifar10_train,\n",
    "                                           batch_size=batch_size,\n",
    "                                           shuffle=True)\n",
    "test_loader = torch.utils.data.DataLoader(cifar10_test,\n",
    "                                          batch_size=batch_size,\n",
    "                                          shuffle=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4drcuy+gphycurFEhGWYlCw0fqw3DSc4oKSmNBW3oj0e0vWMFnNaasirRWrO1tc3+5j7d+Xn8lWWEI+kf9Nm9dxc36OBUBlkabMVRHP0Y03ACijDoEbiLUKREUUEUhDg4mKrA0y6L0TKiUhQyPTraUBFKh8rWE6+xGooK3PqmA0dRWkPlxIxGO5S5Q8+zNMIGu0nKg7tjlHK4eKaH0ZJQG7qn5hGuoipKlAVvoUNWlVjHJU8LjM7pRm0qrRnpR3gPfwI+VETY9FyUo9C6YpQk3L91i7tv3ub2zbtkpSZsvcDqmTUef/JJLlx6jOW1NTrdHp7vH71JAQhrEKZ2jTEWz1GEnoPriIdeeJ4XeK5CSUmWlTzYGX7XbT0kp6PZFJD2mGgdRyGEfCii+PAxh26qPTr+cJ93gtYVaTJm885V8sk+YeQx2K1I0pi9vT3KMkeK2qod7u+yd5AziiuEEPi+Q+grfFGx2GlzenWVTqOHwiOZxLSUi1IBYejVbT8KM7wLEdbGDMJaRpOUYb9Px2nQWVzgU5/9LE5nsU7iWEN/b4+5dgupPALXxfe8OsAxtdqFAGHFQ9c7fDLWCgZx9tClhRAEQcDpU6d48sqTrKxfIAojJJBlCWEYIYXCInH9+0yG+4zHI3JrsLaCqh7sWM2/DKJOj6eeeY4v/tEvk+uCT3z8L+O5c6Ra8PLVNwijBudWekirpwGd6WRdB7kpypQSh9c3xqSm9i9XludRjmKcFcSTMaEzTzvwuLf5gAf9lF6niQdYIRllx4Nea4OpDNubO9zZ2MIqnwuXLzF0BI1eh6c++iSNqMHVr30NV3qEpkQrCXYakjoxOZtp+L0VLdBpnuX+5IAgSAkDl8D1UI5De36FTnMeYS2VOG5HJRzcwEUYi1QS5TiUZKTFdB8BgXLw/AC/MGxt73GvqHBViBUFrUChrMVUBf00o51kLCYRk0igjUUph7KylLnFVQ7SFmjpklqN4ylU+t5p7UNFhMPdO0gp6O8f8MrVa/zRF7/GnVt3SJMCbQXjwZg0fZO7N+/QaH+FMxcu8OTTT3P5ySfpdrq4jsJVtSNoTZ0AqUpLQkHhaULfwXNOxOyMQBsoypJJnBGnf/JM8lAC5K3WG5Ysy9jb22NzcxPXD2h3u/i+jzH2yM2trQL5yPO+FcYajJ1mcK1G65xJvEM8eECWORTGkpeWwlia3RZhuy7IrAIHJfdRxLTbEUHo4TiQxwOkm6NJiNNhnSQxhsCtEC0HP+iiHIF5hOsojjIOhz8cZ4WzvCAZj6k6GVgHozwuX7rEYGeXIAo489STlFbQf7BDNRlgjcEeZvzh+HmcOP+hlX8Y9T0JKSXLS0ucPnOG9VPrrKydxfV8BJY8T3BdDyE9JmlJaSRRo4Nz0Gd/7z7lJAEEtqpAmGk+7U9nGeYIzl56lvbLf8gLX/ttFueWeezCZ7h1c4cvf/V5fuanfxrPEQgDla0nviSJCaMA15UIDEVZcWdrgHbrGKHju4wmMdujEVVZ0gsDGssOXhiQ5APcROEJQVGUjOJjSwwt0IVGGwWqQXeuyWPn1okaIa12l1z56Lwi3X3AvetXido+/tI8wvSw2sVohVXTxCEKS0Gg5jiz+HHuDLfRzhZR4ND229hoAWMcbu7fxDVb5NVxO6SukzFe4CMrTWENE11SB1DBsYLAl/hRm+F+jC7BDwI6nRbdtsIXJVWqcTxBko5YjjyaxjDOKowniW0JRpIVOaFQuJUhN5r9eESv28WXf8aJcOf+61gEN24/4PkXvsPtu1sUFrSSaG2n2SxDlRcM+n0mccxkMsHqis899ynmm20cWT9vY2t3S0uJ4yokFocSx9QDynUcrONgsJhC4wlLKziO+B7LXN5OePCwy3rIDwpBHMe89NJLbG5tMbe4RKfXOyLAk/bVo0j08LoP/24wos7o5nnCcHjAwXjMaDBCCYvX6FDhMUhzTnUCFjp1LK3T8+k2AwYHMVHk4bg+2kp2+w5lljAZ7iCrAld5mMqgzRW8Vps55WKlOozjvw3iUGFTf5smrgRCSqywGDyM62Kt4dqrr/LNF1/i45cvc+nTz3L7zn3e+PZVPFewubU3lUlxIqTxsLRIIN4xyy6lojc3x+LiEu1Wl0bYRPkeCItyFHMYCl1RVIaFpVV29jbY2tqg2QrY3tggHw4oixxKg7C13OZPEzY0FqwKeO4v/Az/+Bdf4ZUX/zn5/Vf4xV//Jlmk+PofC373zgZ/6ceeYvXcJ1HBMl9+/vdZOXWapz/6FEZXNLyIXtRkK66t+b3hEJVk5DJmvr2EI0N0kdNtRFxeXyMuEqoyocwnuN2lo7boKmd3e4N+f4c0T9B7KePBAcsL8yRxSpJk9DpznHvsPEy2yJMRTl6gRwc4jkA5HhiFsaIWUFmLQ4NTK09xLrnP7rBC5j7ILkq2ubP7BneHrxOaBqF7/L8rNKKQvKwwWmPKCp3lOBgajekkXRmUqcMKuoTFxRWW5iMaDQUmJ3IbNFcj0gp2tiOW5yPWew79gzH9qqB06lg0vsMojVloNtnb3kYaSRiWuKH7nt/jh4oIkT57g5gbG/u8udEn12aa4hfThIMBLY7UhVVesHHrFq4uWIkMjScv4SgXq2stmhQWKRQVJVWpKSYTmEpkGu02hM06rpJm6LIknUyOmnIoHXk3DdqhPvBoXwlxkvD6669TlRVSClzXwVozjbmYWltX3yzmodM+Ooly6L1ZrRkeHHDrzRts3NtEFykLi/MYGVBaQWbgYJKjVH2O+aYPvQDfqTBuwGCSsX8Qo40gCBu0HEscD8jSkiIXrF15imani5AOU2Hh25jwONjPEWkcJkt0BaNKI1sWGwp0liKLjB/+1CdZv3SW0nGRSUZXSFINeWWm8hqBsbae6B5BeocT0lvfgRc16MzP051fQoUthOOgpKSkJHAlTjNEuYt4boB0JbLcojI9lB9SOg7jrYDReB+TSUxWgFJQlkhT35zBchSYfBeCNFVFaSxhYwXHPcvrL32BwbXvQGlwRcHBlsu1V+7SabyOeu2LRN2nmexLvv3yK/g+LM8v0m13WWw32J3UoZlJkuDnJc35gF7bR9gJxvi4bkDTt+RVTpzFhKGPNscJvslkjzjug02pypiD/TEPNjdZWFigKAsaUZN+sYPphoyjEKeqWIo6TMohYlLiu3NYE2FxEbaqXXnZIAoWOL/6FHqyhRwrDMsU5Oxld0iDfRpuSGua8QZIihxpBZ7joIKQSAVoB/LDuCyCuLDoJMWLluh25wjEGJ1NsNkIp9tFGkGZpVidkRoXR7msNBr0SxfNmDwvCbwALwjYSXMO0oLF9gKVNNPk53vDh4oIr715h1eu3ePlN+6wf5Cgpil9SW06iJNZV2uRAnSeM9jd5N71l2k7GY4bkecFZZ4ibIVEgi3ptNoUoyHVNKvaW1ik8CMGgzHpaFRrz/Jj8/44PvXdZHZr8qp07e7lRY7QdfuM0SAExmiUklPt46GleeIc0yz225MlAozEVoYijckm+5xe6yCMT6lLymofXWhUmbFzT7N1sz4+dCTGVuS6YlzApDSUCBbm5vA9h5yScaXQQhK0I1oLi7S6PYSUTLMkbxv/R0R4RJKH2jiBrgwb/TEfi0KQddb+wvlzLJ86BY0Gu1t7LHeb2F6TibYMlhYZjgccGn3vYPhNLem3T0ZhGNHtdul0OrQaEWHgERhBv8hJBSivRTzJ2UxHbCe7uCalJ3yypTaLJiPwI8y2QzI4wLglVhfYPEdUGq012IqpwvvIpXvn9hl8x+XPfebH+J1/8pusXmrw2U89yWsbr/HRS+f4qR/9KZLsHtc27/LNV5/nzo2KBw+28KOUH/n8j9KeX6bXDXA3+wAUScqp5QXmFrtU403ubV1j7pkfotCSogLfDVCtDp0oIi2OY6dbm3dwpObU2iKuKHjttevcfPNN8ixjZWWF02sObhiyn2Z8481b7L/8Gp87f5HOoqTTjWj6EtcP6yQHBisk0o2QtGioJebc04hM4dllnGCfRi9gYpqsLlxApeFRO+LhiNALEEqSJjFOEOA6HqaYvkNpMY5l7yCju7xAZ6FH2d9DCkV3bonQV1irKYqEXtsjakdUjkvTlfSEYn+/jxs6eJ6LNBAnKVHk4zQdSmGRZfmO7+ud8KEiwu+8fJXXrj9grz/BVpZqKuEQUiARWGPqTulIjNEIa3GUoOEr5toB+3t7TLJasR/6AokGPbVaSBjvDynGNRFax8d4GcOdPuQZridw5An5zCM0fm+1TmqXt0JrPbWMFItLS8zNzTEZjul1ewhgd2cHay2NZpPheMzy8ipG64cG2JH++20JiTqjrbXGkZJWIyQfDohHQ5LJCN/zUdbiTBIG/ZTdfk3muwcFha6wEhzHZ36xw9Jql65XIqqU0WjM5oMBfthm4fJZ/KiJdOrucJxFfNg/lkdm4MkGHoYaJINRzKtv3OHZoEG31aLd7NDszVEKhzBImFSaoqowQhIEAY5yENTy7al/PNV6npBzvCUpdYhGo0Gn06bdbhOFAZ4UVK5gK8m5ubXJ3njAaG+Pm3dvUI3HnJ3v8vHwgEHQYX51naC5wEDnxCX4DUmZjdFpiigLqEooC9AlUPezd5oQD/WAAsvnPv05Xv3Cx7h+448R+9A91eP+3ev4ymFxfoGLp57CCdYZD7/OxkbGzVuvU4mKIFphfvEyjanqwxjJfK9NqCKu3XyFG9e+xJWPfJq4tMRJhesqorBBPJmQV8dShwf37pFMxkgsZ8+cZn9/xO7eHo1Gg4WFBfb6ewykZPncOo8/8TG+dO0uL7x2lafkKkIWCGtZcluoRi3UFkoiXA9rJTaXuLqLEuDh4QZt5hrz7B4M8USPcXxMPn6ridSWg3iMtYLQupRpgnMYBpYWIw1xoWmXOWu9iOs7kts3N7l0fpVeK8RWOd1uA9/RNKKIcZkjjaFdCMa3MnrnOwS9gEl/wEK7QRi5RIFLWVbo6r0nwD5URPjgwT7DgzGmrGotoFL4gUcYhXiOokwK9veHtQzCaBASZSXSWjwFySTh5dc3aDYaXDi7Sm+ujXQFu7t9rve36PcHZGndcbx7A6qqqN2DdsT6+VOEreNVGYeWyFvtomMNGAzHA4oyI4pC0jRlZ3uX8+cvoKQiCkN0WTI+GHDz2g1u375JsxnSnlug1e7iud7RABNCHF1FyrckUdAYoRFKoFwX5fgMRjk6g15vkTKbUGQpgYB2s4WhFpNaWZBkKdrkhL6k6ZTI9IBhMaKyhqLQRKFPs9vGCZp4XoDnOEgMh5T31iTCO8ln6o1QGc3rN25x5uwpup0WbqMFboDJS6qyQnkh88srJFJy58a1+jB5ZOA/fN8nSPDw+0lEUUS7PSXCwMNzJJWA4b09xnf2WT3XwJv3eXVTwt0H3IwzFkLF69/5Cn09R6PrIpptls53qCYZVbxPEU+wRUZRpJgswxYFpsjBVG9r3yGUBKzAWIMfeFy48km+8ZXfpxrssFCmvJnfZW+/4NRqQKc7jwkWefKJs+xt7dHtNBBScOvWLZYXz3HhVP0/iyq3fg9OVXL3tZdoNzziNOfe9h5x4dCSLo4SSOVgy2OLME0yMOC7PlHgsrq6yuTGm3ieRxiGxElMZUrsXYdLFy7zV//63+CNq99gd+cmrTSnynaY6GucudLCUaB8heM7aFuQpRllqfAcjeeW+DhEpknXiQhR7Ez6x10hcNFJSRRFuEZQyDq0Y2Q9pqTrInFIspjAd3nqsfO8/vUXuL29R2u+wapfkI6HOM0mvu8jpMQYBzfwWY0iOs4md17eQxrodlw8p5aIulmBJyXVW8bQd4MPFRHOL62xP8qIjGVhYZ6lhUVa3Satpo/Csr25w7deeo3d/RGmAmxFZRR5VhJPEoQKGY8nHAwmKOWghUOapty5c4/BYEISZ6Rp3XHSLKecxvGuXFxnXjQR4mHR7mGypF6FImuSOkEGaZoSJ0OEsCRJwl5/j0ajSaPRQIQRg/0D+v0+/d09tjc2uJf0WVw7zfqZM5w+ex5r6rXHxlqUfLR/qKTCVQ4ICKMG3d4cvj2F7xgWl5bYfrBJFic0vIjMRvTHtVV74807zPVColBw7fVXSPOUJLdMJmOEtIT7hfrWAAAgAElEQVShQ6/XZn6lzeLiElGjUa9SOBRRHyp8ThDAo4jwUBhsqC3inb0+e3sHXD53GqNLBv0DrNa02i2CixeZLCywvb/HYDis5Ss408llqu3k7ST4KCilCNywFotLS64zDg5GXIwiOs8+wdgzfLz7UQZ3dnit6PPR04/xe3/0PDSbrJxeAhWhR9totyAuSprhMl6jSxofQJ5AklOMDzAmxxIgiqL2SN4yMdbx0UOlaMmlj36CwlnmYDIifzAk2U3Y29wi+eg8yr2F3+khglOcP79Ab6lNo91B2oLxwRatoCbCJKtwlORg6zqDBzd55jOfJC81k1RTCgdtIc9LfKnwA/+oLWHY4AAHRwUoFM0gxJGSwPXRRZ21bTWbOEA8GLByZolPf/7zvPH1kGuvfpO2K5inRWewz9xcFys9hOtQVhlFmmBM/dwlFRKH0GnS8nwcC+ZE1lhZ8BwXz/XQRUERx2A04+k6vMWGg+O4NDs9Pvfpz7K2epqGyVlph9jxiJGb0u60GAyHuL6P63s0wwat3hxaOKyfXeX6/V1uvbrD5afmsC1FKJx6BY+r0OWfcR3h53/sR3js8csIBOvrZ1hdXSGIPLJ4xKC/S7sZMY5jDr7xGrYy01VidaC9LDXSVggpGQ7H3L7/gEmSkk0mTEYxRmtEVaGmq0dcYykLQyYNfrONUorR7t5RW+quPR3ootZs6akIWyAQRqMETCZ15noyiRHAg/v3WFpaxGrD3Y17IGDlzBqttsferZdp9eZwHchGuwx3dshNgRuGrJ67grXTlPcJ31MKURdvEIpWbwHHUWwqjc3HCMenu3yGshJo61Flmk5QuygfaXWIQosUKYaUsspBCeJxTn9vwO7uAQNh6SxEnDpzljBq1iR4WCjiLfJmOA4NvI0QRV1sQk1nYm0sRluMrqgqiesH+IFPcjCgCgK2D/bZ399HSnW0wseYOqb6Ttz3VlIUQuI6LkoKyiql0Yw4c26RxhrcrnJevrvBV7/4EuRjuh95jKubd6naLo2wSf/BHRrNU3z+uc9xd/sW/YN9hkVKkaQITyJiH+NWKMfBqKnMJonReYU1+UONdJWkXqZtsEJhgojMazNKhvSk4PRKi+0Hd/jG1yb4fszi2pDWas7ccpfJKCFJc0TlcHpphd5yt75XxyNwLX/4/K9zsHUNV/45HOWAMmhqMXLoerjKUp6IEfbmety5fZPhMMFrt2g3AubbTRqeTz4ZU9mcViMgijxKHZOnMZFq8PjTz9Fs9Hjz6neINdy6+QZWXKHXW8dKRZlPKJMEZTUOLaTwak/FCqTx8FULXRy7o6506EUByXCEriq8pKK0OWKq2XQrifZKLq5e4ZNPf4zWnM/CmVPMbd+hUVnm5pY4c/Ec4/0Re/v7TNKEcKHJ/MoZxknMhQtn+dbVu+zsDuhvxMx9ZJ6irMjznJbn4f4pyqx+qIjw0vk1LqyvAuD7Aa6nQFiq1BIGHqurS1xJM67dvM/+3rhWrAsL0iIdF2M1QtbxtvE4xhYlDd9H58U0o2FwDs1mz0NbiedJFuc7eGgO9o+rm1grjvq7sfqE7KVeSZFOJuiqoNVqoU295E0iaIYRtlvLZUqjqYym0WiilKaIV2m2Ftnd2ebaq9/Cx6J8Fy0EK+uXYLqu8yErTE6XmwGuHyDlPMtr66R7d0h272Cli/I6eO0O8ytdpKylA6M4ZjjYZTIuWTx1AWk1pszpi22KtCCOC7QT4oZtFpZW8KMQe6hleYsleBInl4k9hKneLwpDenNzpKXBDVzCyEMLxWQyIUsT+ns7XHv9dYoix3Gc6XlqcbNFPtIVfqcqQMaUVFXGKy99nSgM6M63aSmXxx5/nAtPX+A7dkI8ukOql4gnm2SjjI5M+MyFx/j0Z36YK1cu0x89zvbONrf397i3ucndBw/Y6fcpSo1otpHKp0wHGCSWGLKyTiRM21SWJeNxTLPRREnFznDMp374R/jK8y/Qv3+V5kLGuTOC/XzAwW5KcdsyrxJE2MF3l6GEy59aptlw8d36mSrpkiXb3L39ZdbPtGg2Wvi+j+NO1Q/GgnDIspQgOk5SGFtS6Zy9/W1CWTE3H7K2toSSBqUM49GQ4cAh8H3S1GCFppW06HTmeOKpZ+i0Grzxyre5u3GfpLQ82VvnzKogTycUaYoEPNfFc1wqU5FPDAvRWbreMsIck48rQWYZDSHQuSYIfIxwaaq6b3oGssrg5xnDjZssLzzF488+x3DvDr1GSKvTRFQZK8vzGFMnry488SwLa+tMXnmJXjPg8vl14jinSCGPLTEpxhj8TNPV710H9aEiwttXv4njuEgpp4vY60odZVnUBGRgrh2xvr5MkmTEusKIuiKNEZKirNBVhbR1TCLOJ4igqiUG0xJP1TT2p61FKlg7tUzbF+hJnyreP9EacbziQci3VaDRugIEvudRac3y8nItjTEnSEJJlOvgui5mYY7V9XNIFIPt+2znBWFvHm0gCCJc4YJUVEZj37J+WR5yoxAI1yFsNCGLsBOYTPYp4z4q2cU0e+DU7v0ozhiPR6TJBCUsZV6QThKSce2mNJo+MgwIIkmWxlS6OV32qupkiWUqmD7Rlnf4fPhMrLW4rkOn3SLJSpotiQMoa9DxBFfBcL/P5sbGUaxVTp+tNXa64P+diO/h61VVRZJO2N3bIhkeYFKXZNynFTW4fOEiuqx45vITPH3lCUZFSjrKGWzuMH9qmd7CCkZYJuOclU7IpcUFPlsKDkZjru884NXbN3j15pvc39rBCos9oF7WZi2UBUIXR20cJWPubd/n/Nl1fOuT5pJ/46/8dS5d+Bj/8O//N1zf2mS5V9BuCT71iQusnFuGZoON3ftYmpxeXGa08TKh57E7XeO5unSON9/4A8rhGxRLS7gNRTuMWGzlJAc5ZSXI8pTIrd/XIba2HpAXMZVOKEoPP2iwsrrAaBBTlBpjS8aTIdoYoihEmxIwWGNw6HJ6fR1XwfNf+iL3NjcZfeVLRHOL6DyhKjN8T+IqUNJikHT8JbqNDqGYY2lu+agdoYJiMiFwfSIlSNGktsuplUsApGlGMhlRasXVrz/P2sVzXHr8aRqMCB3NG2+8wYONDSIp2DsYsHzhCS5/7DnKyhAowTgb88T5FUajIYPhAUksKUNL01O4ZcV4lDyi/7w7PlREWL8sUcchpjKOIHBxvVqjVGlDFBnOnV5j+8EeZVaiS01RaHb3RqRJRjJJsUVdUcaWFblNsaJWQWhjKQ+JUNdaseWlOYQpqKqURni8WFvrqpbuKIFSx0JfIeSRXOZwkboQ4kjmIw+rp0wFdkIIXNcFIVDTzEA0Cmk5PudPrTNKCoxwGe2PCBsRKvKPyLrGwxaYEBLH84maXYKlNeaWj7VuRTomjTfrZ5WP8ERG5RWURUEhBGEg8IyhyHP20hG2sty8fp2trX0+/UN/nseuPE67MzctlPAOK0ve4bsFpJDkRUFRFLTCkGQ8ptVoYipNFickZcGNG9dJswzHcerST1Kg6oXgj5TrHE5EUoq68MAUWZowGAzI8oxmI2Tjzm0q12Gh1eWb3/w2Tz7+EbSEMoCWHzEXtrk4v0BRVozSGExBiIvfiqAVoUtodpssrHR56rGzvPngSX7/hRf5yre+SRVH2LDE6gqTJZBNpTVAXlQYa9nZ3UUKFy9q0mzN85f/2mVev36dX/mn/zNpaehMNCqMWVzPWWqeYmH+MrujPUJf4ktNf+c61qvjbOnGVb79wm/T8gFXYyWIChaaPgeTjHEB0nHwAsHB8Fj7enAwYDgaTmv21e+w1+uSZxUHgz20KaASaG3xfQ8hBGma4joOo7EAW7K4tsYnP/M5vvjHX+bmm9dw/+Bf8PjlS2BKHOmgpEXYCs9xWZk7g28DMA0unr58PHYSi+f7xFVFmhSMjEfuL7Dx7bosaZKmZFXKfHcOPzrg1K3rrK+scer8FZQrSJ0Od2+8jB7tsXx+kSuf+TzLp9YZDkb0Vs6wv79HFJRcWl9iZ9vBc1xwXaQeMJqMsNW7JPXeAR8qIjz/kU9O3aVpEsHUFoac1pNK05Ryc5N2b0AUhXhuTF5BkWkebO4zGY1JxhnW1O6kmlZb0caggcqCnnJMNU2L1i6sJfJD2sGxKFRKeeS2FXmO67pIVZcCE0dL3gxZntUkp1RdE206aIWQdUbUylrzaC2SAqscBgcDbrxyldHuPquXrlC6AVd/93d56pmnWb/yWC3uPcLDrmJdmQdKLTDWJfQ9XNdBSQhCj2CqwQgjhc5jqjKjyHOSrGI0LhkMCorUYEuH0XBIZkYYZxOkIklyPvncZwgD/0iY/Si8reLO9DlJIUiTlH6/z/lTa5RZhS0KdFGgpGI4HBAnMcpROK5CSYUS4qhCTU164uj9157B8fK79MQSyCKN2dvdZ3fngN5chzgp8X2YiAnf2r1LttBmod2j3K3QRiOor+MFQZ1xdgOkFUhbr9F1HUskNY7jE7gOLb/JqblVLqye5jf/4Pe4e/cOTpZTeg6m9GoFOeB7DdZPnSfPEu5vbuN5Po1mSBApfubnforrN6/x9eefZ7c/ZjfpY23KM5mldybi7KkLjPa3uLd5k+5igbR1fNethjx1YZnXrjbr8lt+A2MVDRfW5pq8cm+f3DbQQlCUx5KvZtQjTQrKskIIhcSh2eiwMK/Y3d2l1BXaakRREEUBYegDGhN6IAKyIifJUpZOn+HTn/0cX/ry87z2nRcJZMnC/DyecnAkSGkQ+AjpISuJ0YK5aOGoHZMkxbWW0d6INzeGRL2zVGHO/jQGn4wGaGtJ4xRdTgi+3KB49hnOnJ6H0mK9Nu2Vi4Trl1lZO8uFJ57B8xp0mtCcWyYKI/r7D2i2AqSco9IaP2qwN8lQyhJnJ5Ydfpf4UBFhd3EV16mtJznNRtpp7MlacIOCykr6B2Mcz68XdCtJVVkODhLyrMCYOt5/OKgs9ng1h66TK9SnBAlbD7axZQexvMDC0vF/baCnSRGDYTIYstjrUQmBkg7CaHSZkeUx+9t9Aj+g1WqhHEmlc7JJiud5RKpVB9AxSCMQRtTCFCXIJdx85XXypGBx/QzZ3jZ7ext0VheYn1aEBo40hA8VU51WsClKcBzqVk6X4UlRv1Lf88mKjDzJ2djY4d6DARtbMQfjEi9sMLcwx8ppwTgtub+Tsr1xD6iXMl554gprayt1MuPE+3mba3xC+2inIYFKa4bDYV19uQKdpegipyoqrDV4rourFJ7jIoXEkQLPdXCcaWHQ6QQkphrGuuL4293lOI7Z2LhH78YbnD5zmrmlRebW1nk9H7E+cBj+/k2cIGL53CpRFCJkQWk0EzEmFrDtOXi+R8NzaTYaBL6LVBJXiGlZWsFcp8HnP/MpGt2I/+XX/hl9W2KLBJsdk0+R1+5lGEQ02m3cYELDc0BXXLhwnp/7W/8uDzYHbO1tU8YH7PdTOq0ew/EGg1Rz+bHH2U73ODjYJxnG9Ts/uMfFxy/ykY9+ku3hFo4TkhTTRJ0xFJUmLy2jcfKQFX369AWuXXsNPR7hOh5COEjhcfHCFQaDEW/ceAUrDMak7Mm6GK/neghTYa2m0WxTVpqD0ZjVlWU+/rGn+Re//Vvcv3OTxfkeruPgKIESTF1yCbLud8oce1OV0SSZZe+g4M07YxbLHUrRZzzIjrqw47iMhyPiQZ/Qa9Btz7O1u4OwFQJYO3WatbPrrK2t0ewtgvLwQugtLCNdv7aIBTiyLtJifQ+VpfhNw/74zzgRer5/VGhSTjskHA8Cz3dxXId4ktBstnDdXaq8whhLmub1YJyWObJyuurBWpQAYaY19qYWoSMVjVaT4SAmSVNk0GD5Qu+oLUma1npFUSvXm1ET5ThMRiO2Nze4d+s6VlZ4OCTjEQf7e3TaLazVxElCu9Wi6QVIz6VwLFpI3NJBViXZaEKv1SMwIcVgzE5ynW4YYeMJo909Oo0FHoY4MSFodB6j8wnKZmTjfVKdIKoJUtRVegGKJGFna5ed7T0mcU7oN3j6o2tEjQAVBGjpcf3WgK3dlHSS4gcJe9t3+J1bd9nY+DhPPfM0Z9fP1uWyDlvx1kTJVGJTF1I9jPkJ8ixDSFnLJ6pag1fpijDw8RwHz3UJPB8JOEoS+B6Okx8lhayZ5q1FXd5eSYnrKuLJcQeP45jNzQ2imz3CMKDRbPDawRafugVnHzuNWPe5nw/Ya/Y5u36eVnMFrGVhWulZTwomcczOZI/+3hZCKZwoQHkeQRDRdAPmXUXH+rQf/yjFj/8Ev/xbv8lGv4+Q7hEBNVsB9+5vsLa2RhT4rC56eEqAVVgruPTYJfyWjzt0UP4cg/SAF6/22exvsnhqm9IWPHHxMd64+gpv3juo+3vpMrk55Nkn1lhYbmKlQyUd4klMZcDxPKqqwFCx0GsfPZN2p8d8b478YBPHEThSYI1kee0Cf35uic3RPtv3buBIwWQ8RgpJs9EiG03Y3thi7dRpWu0ucTKmKgYsLs9x5cplbt28z8VLMSsrS1jHRTsKhKDUmiyJGY/+f/beM1bX7Lrv++3ytLeeXm4vc6fPcIadlCiJpEUpkuVYEWAoiS0ngqUYiJGC5JMQIAYEBA4QRwgQQYhkIbaUWBZsSbGsQkq0qLCXGXIuZ4Zzp95+yj3l7U/dJR/2e+45wyKRoq1QABcwc++cg/POc56ynr3X+q/ff8A0PyY36cpTiYydwS5Jq8VkMsEai5lrrnXSIY4jvLVMJwW7+4fc3j0gG0lasWR1bYUoisELrBfUxhJLgVIxcasTkmKShXJXVYFXVFFCEmeMcsfC+l8imFUIcRb4NWCDUDD5Ze/9/yaE+IfAzwBHLdifm4Nav4nPPEEgmT9rRwLj+9KNRHD69BkuXDjPwf4BdVljSkNRGCKtEUicDAAEKUE6h5JgvAPpiebbzk6/x9vf8TZeeOFFhpMxcavL2uljqxXvgreGF44oTRFRgncNh3de442Xvsx0sEdd5SyfusSsqEiSmJ2tO9RlSRTHrK2uIoRgsemTjiJmkynDgwH5wYByf0h/ZlFO4o1He4d2NZNbuxhS1k9fOj6Ok5o678FZXG0DR45kjjuKMEVDcbjNbBBO+3QwwtqG5bbg3OlloiwFHZHPPLe3h1y7MePazUPyxtFf6DCeVJSDksGk4ub2Lh/904+zvrHJE088ceICzf8lTqwIj7a0PvxFSBlKBN4RRwlUCu8giiJir4kjTTvLiOMYIYL8JC4D4l4oiToiOkeaVitjqd+m087Ae7a3j5tZTdOwf3AP++o1ptMpz375SxTacfPsBd565Z083LvMSus0k70B1164xvr6Omtra6RRgpAWuyxprfa4aHvUVU1eGwazKdujA8ZbtyjrklRHdOKMLMp41yNXKIfv5Z/ducXhaHD/OHSs0VmbcRHuwWk+ZWNzg/2DhsPJBK81/+FP/Di/+I9/gdHhGL2S8OL1hvEwY/twh1lToqKaUxcf4/re6wB84bnXMNe22L434P0ffDtojRM1QimSJCZiSDWdcHqzT691rCOc5DOEs2gBQlhwJjSjdJvH3vYEP6YNv/Nrv8zundtEkadQBYu9RbqtjDLPkdaz0G4zOtjhoBqStSRPv/2tTKaGO3d3WNtc4WDYUNUV+SxnPJlyeDBgNBpTVccTLjfvHpD0lxkVDVkmqRoTyOpHNhu2BGKkJ4CD0wiZRPT6HVqRpt9bBqlw8/vJN6GkBApnPUpJdKSJHOCCv0oSQaojdAly4S8XzGqA/857/0UhRBd4Vgjxx/Pv/YL3/n/5Vj/wTQ+9E0iljhsPAAik1PT7Czzx5BPsbG8zGowxlaGqapxzKFSolSUJcSQQ3pDEEZ0ko2osxfyC9RfbPPLEFba2b1Lbim63R7e3cP9YWq0MISRVk1O6Grzh+rWr3Hv9K7h8iBnv4IuS6OwlNk+tI4Bup01VNVhjaPe6iFgx3trhjS++jJvMGFZTqByLSZckUlhhUUIQWU+Ep5qWzEZjdg4OvvbkANYZTFVQ2wlOFESJDPoaYrTKiNs9hApL3k6vRVEEtNiwkty7m3N7O+e1rQmjWY0XnnOnVol0wnBas70/DQZEMvhc1PmU/Z1XufbizeMDmDcvTq4Ew5ePu8tHI5HFbIpOFUJKlNLEUlGYGWmW0Om1A2lcQqQVM+s4hWBluU9VWw4HY5I4YnV1kX4no9/OGI5nX3M+6qJkf+sOo8EBXoKVnq988XP8/p98hEcvPsx7n34Hj77tKRZ7fXYGhxxMxiRZxMbGBplPkULQGAsO0iSmH/WIOxmtsmBnNmBveMj1w3sU0xmTnRl37+6DjjgJ6hUyJm80r9+9h7SWwXREb7fBkmCFIE0lb333+/m5/6HL//mLv8J4ss+dvRzt21D2uXN7hlCvcfmi4Mm3PQbA3UHDZz+xxWeubjOpn8G3zvPE208j6CGsZCGyCKlYagebgKPY37nHcDAO8+le41wYYNRKkaUpP/D9H0BWJb/1L/45+ztb+LohEbCyssTq6kOcO3uWvb19RuMxVpTcYQclB6Qtzf7BNh/5oztMp1OqqkRKiXMOYxqOgLNH0VQQC8/ScovDexMQGoTB+7BbMU0NCLSy9NsJsYpY6i9w7vQG8TzJIQQ6ihBCBHit0jQWysmEZjbGuYYoatE0NUVRoJSg3WoFvP/hcQPpm42/cCL03m8D2/O/T4QQLxE8jf/CEU5ouHhy/jbgxPhZGOhVSAFnz51neXWNrHWTpq6xrqGxFi+g0+3yyGNXuPLwA8RJRKfdpd3tMRwPuXv7BgDleEBTTfHOopUmiaP7rEKAoizD0n28zxsvv8ALtSUf3aXJCwZlRVlY4kaiD/ZZTxPSJCFNY5bXVukvLBCnKbtbd9m7fZvR4R7Ke5Q1iEhTKk8USTB2js431Fii7gIbZ88wzL/2QgpgOp5y985tvvDJP+Xw3i26qef82T79zFNP97l5d8JwHG62XqvFdFpwMJiys5/jgHY74cK5Jc6eXmRzvUdV1+wdzrh+1xBlXUqrkFHE/v6I4WGOsR44blAcrQKPmxpHifB4KEZKSaw1xXRCpsJKDqUQpiGJY3oLXWpT0crS0LyINE5HrKyvcO7MGnsHI3ZaKXGkOX9+E5yjKqv5FMrXCWOoyxyhJH4+pVMUBzx38AWef+6LrP3hBu945zt54tEnWVxcoC5mvPTyNZaXlllaWqLfXyaOIvCaRgYZuZKSLE7ppW2k8UwGOZ/80lXube3TTIP86Ci2d8a88sYuTncQXlDrPntlhJUROpKUtUBOFA8+/jb+y/8249kvfJqPfvQzjCczRrMRxqdUlWD/4EuUTZB9/MgH3833vuvdjA9LbrzyDB/56EeRusPjj78frRVPXTkNeCajPZLkRIPPe8q8wDsBQiNEQOgXxYjDe9v0Vzo89uTbGByM+MRH/4BiuI+wDXv7u4wnI157/VX29/c5HBzS2BrrbgSgxlxB4ZEYE2broyhGKYHSwRgrio4bfDGKqjJIDXUV5t0Fcj6ZA53uGksry/hqD5vH0Fj67Tary8u0WilFWczF+EFD2DQNUtUIJxkf7pHnMxpnqfMcrTW1tcwOD2m1erQ7Hapq8melma8b/05qhEKIC8DTwOeA7wH+gRDip4BnCKvGwTf+6ePwXuG9mifA8AwZ77DW4p1HKIVSAc+/srbG5Qce4OaNm4xHI1rtFu1WhyKf0el3eOChB/nAD/014iRBqwihIvJ8wu75INi+89pX2Nm5R17NcNIhtUCoE281ZynGB1z/3Oe5c/1V8qrESkfkJZMyx1pDFKVM7u5T5BWn1jaIZxW5v0u5tITrdxj7mjjr0tNtqmKMJCLrdZHtjEhHDLd2aayldWaTxQsXWTxzmtapdZoTXeMj0ITwniyJWF3sc+70Jv3EkkYNF071WOxAU8TsDW7x8utBPvPFu/fo9yLOnOrwocc22FjvsrTYIo1iGgvjWcNrW2Nu74zZG5b0lrpkSUxRh7qS85J2S9I6wXabp737iTBc+3lSnJ86KSVJElHlOU2rQqFx1oVOsYjo9wK6X0eaaF4vrJyiqCpaWcJSv42SkqqqWOi3qMqaIi9o7NcfpHehAAnOB0H4fU24o64bbl+/wc7WNp/+zOd56OGHuPLwg/T7fbaHe+ibmlarT6/XJ2llEEd4IaidZVaVVFXFbFzyb3/v42zv72LGY9xsjD8h43nx9btMakGiHUks2MjaDMuGsbEYn+GcZpTXRF5w7uGn2Dh7lrLxfOnLX8RUKbPhlJ/623+PZ6/+vzz3hRcAmB7kvOvpR/jr/8EHaf/kf8Tzd27zqU/8PsLCB7//R9GxYtY46kaQtY4f4YVuQhoJiioYMFnnGA73+Nif/B5xK2NpbZnxtOBgdxtjagSOw8N9dgaHgU59dPp8GJeM4yiMEFqHc4Y4SYni5L7RE1iiSKG1fhNC7e7BlEwrxuMKzxyQIgRaB/H3+oUHSDsN269tUU596JjbijQLE0hxHDMcDrEGyqIKwBGdUAx3Ody7icxaNJVlNB2TZikijhnuDvA2pbe8wvju+JtJN2+KbzsRCiE6wG8B/433fiyE+CXg5wmVvp8H/jHw01/n534W+NmTX3NCYAk0XyeYY6w83h2NbTXoyKNVoPU++sTj3N3eZmtrC18bnnzyUV6//gZZJ6XVadHu9NBxhHcW7wPafWkxNESKpSUODoacPXeKyliWVxfe5AimhEBFGjPOad0d0fVQCY+2jkUl8CJBzRxG17hqihnexY5yKCsqoVh5z1M8+N63UK9V3Hx9h05d4dOIVGrKvSGHVcXMWroXz3L6+95Bf3kNJRMQinZ8XPc5Au54H+qbi/02733HQ7hqDWFzpC/AzHCx5/1vk7zrodBomeY1caJIU4UWHitEICQLzXBWcmNryBt3h9wbFFgv8dMK8oZpYWiMR2lNXXuq6sSW9H4Jd14PPL6W8wmfoAAylVgAACAASURBVNfEQ5YGKrck4NobH0jM7U4P68P8dpwEP+LWrGYyy6kri7VzYvTck1opGepi6uvfqv5IxH6CXiOFxJtQdnCAcLC/e4+9nXt8+YWvcPbCBc5cCh3JvtTMnEFNFSKJkFFMEiVEUpIkGZ+7+gXu3rmDaWa42RQ7nZywhAW0w7iSyAnaScKZJc0pnfHSnTEz57AISuMYCY0TjoXWEv/JT/806x9d541XrvPWJ5/kA+//Ph545BH+9b/6DQBu33yW4d4fMhlc4z3v/lEev/BjLLfWeenFD/OlL/4xb3v7j5DGrfnL6LiDPdi7RVOPqaox9/YbxqN9qrricDQMK2YpqetgYREJh/KWalpgscRJcl+y5qxF6wA0BkcUJYDE2GYub/PzfyRaaSIdYU68qEalpRtp2q0u9Qwa01CZhk43PHtZr8NgcIfpxBBHik47JlGWqggAE2NrjAmr0FmeExuNNQ2Dmy9i8kOMsRhrCbTvHDmXrHlhKV1JPv3WBdXf+lDeiRBh7f1bwP/tvf9tAO/9rvfe+rCX+RXgnV/vZ733v+y9f7v3/u3fzjF8N74b343vxrcb307XWAC/Crzkvf9fT3x9c14/BPhx4IVv9jOtN/dlGMHIJxjK2PlUiPdHimiLFIKVtVWuPPggr738Kls3b7K8uszuwQ5LKwssLC6CkGFKw4elvLHNfSlOEqcsLCyjowiU5MypjaBQn4c0lm5/gXMPXOHV515CjvKg2PcCK4NWKvKCLI5wsxrvRnjr0FKRyoRmOCWWEWVXIVcXyHd3qaZTJk1JrWDlgUucv3KFjQsXUEt9RBwhhUZ69eahcS9CzQeB82ErWJsaV5dIWyJ8oCoLmYIao+OwQujHgZVYNzWH0wnTac0st9Q+Y9oIhoVD6hglLQf7E/TUIKTCOtA6JYkVk9mUqvgqa7+jZsnx9QYhEcKGcci6YjCeoZMWfs6TVFJQ1eG4du4dEsXQ63buT44Eo6uwL5NSomTQIzbGUpSGvKgZT99s3nQyvA+rGOTc51pYxByN5ecTKToKBl+jvQMGBwNe+MrLrGysc+6B85za3GB9fYPuQp+kHbw6isrypWe+yMc+9rEAoChnmNkEX5dwYvXz8JVNCnMDaz2Rr5mNDhhOJgzuOTobT2AIXfPCCKRViMrTTTLe/4M/xvveZ1lZXEAqx8UHH+W//u//IQB3br7KZz/7b/nks/8Po8Fv8APvO2T13A/xoR/8G5h6glQGHQnOnVlDiuPa6Wc+/VGmkyHWVJTVECXAmhqkm1tfRsTK39fn1h6MCas8HWusDc+V0ppYSaTyWHv06yq0lkgVNJbGhuvtvaRuPCeHofRCTGkti8sL7O8c4oxFAcoF+dPB1uvM8tDcjJKYWTlib+c2585dxNsek+mUoiwpy5JIgW0EhzdvMtl5jVleMJ5MmOUzOt0ORV6wf3hIZRvq2YhJPWT6F/Bc+Ha2xt8D/B3geSHEc/Ov/RzwHwshniJsjW8A/8U3+4FBOHwsqvVzTLIQR2ST8As650KCE4Ll1RXOnj/LztZtRKxZXGqzubFMf7EXvBecw7tAqKmqiroKD5QU0O4t0O5kFHVNFMdIfVyb6yQJTaxZvXiO6/029WCKV4IKx6ypaZyhG6W0cXN7SBvULZ0M3V9g7/YW64MJenmRdHGBGzQ88tan6Gqw7Zgzjz5Ie2GJVMRooXE68OUE6k3mocZYGmWCxs4LnIhQyQJKeGQTIWyOcDV4i0oMJg8/fW9nh8FhGDvUkaPb7bO6vIFMuhQWRkVJK5uyvNjmgUsrVLWlNi4YhHsYzyy1SRi6bzBffHJrfP97IoBjjUdnXSIvcLUFBFEc4U3B/sGQlZUuUkoaY5AijNmZxlIUFZNJzmRWMhzN2Nk9oKpqirxkOPqz6z4euO99ICxuniCEDd+rXY2QCqECHso3msHWFoPJlOeff4V+f5GV5VX6Sx10rNjfH/PGy6/RzEpEXSKaElHOUVz++OVgqwmPPHCG7e2GV689w3JnyOjwgO7qI3RSw6Qq8Sis8ZhGYpSgrBwi1egkY1p6lAoz1sqHx/HsxcforZ3jkcfew+f+4P/gD3/vX/KOD3re+Z6fYGPzCqBwPpjG6xNGRYPBNkoKhAyNDanEHGYRRu6kBOtrrAPhg8NfkrbQOli3OuNC4zCKsdQYb7BA7WxgH0qFmW+dm8ZhrKGoDcY0OHMMZo2AfFxw9tRphAxe0lEW398+716/hfWKSAvQgkk+5isvvMDp06fp9LsYE8T3dVNRFVAe3uKN5z5BK4uohOJgOGA0KyjqiiROKUyDFIK8qBjMcpL4L9GzxHv/Sd60Nrgf37Kx+/2Ytx+dDxAsKVXoFp6YKnA+WBY6H9zgllYWectTj2KqAZevnOWBSyv0ej063RbTIgcJWmi8s9RlQT3H8YsootXRKGJEUQZ+4QmDdyEErm7QWUZrbYXqxnYQZQtgDsWshUM6C3isCDWtfDZj0FTgBffubuFmM/YnYy598HvZfMtTtNsdrDFEcYTUEZa5RaEIv68TxwQWgGI2wNSKNG0Fn14Hh6MJdnZI4idkkUMLi3OGg8ND9naCjnDnzoSm9sRxi6XlHsurfXoLPYRMqRpPlidhEscaKuuxxlOakIhklAAKLUHLr/N2/Zr6IHOCuOfhK5coa8dLr9/iyYceQguLRFDXOa9dv4l3nuXFRZrGYpqahd4yRWXYubfPaDKhKmuscxhrSZOYXqdN3a2Z5t/QdPpr4muNsbjf1lZCBvP1qsB5ULXBLXQY3Cs53LqLbLVAa3zdIOsKygLXlPiqCLXBr2raJCrC1JZXX36dcWnJyxG2KHjre88wqqaYxoSXl5QkWFIniSXYOsjDrAo2Ds571FwMr4XCC8PqqdP8zD/4eT724d/kDz/8SXYOCz70wR9nbelBpIDaGlR8zNBsJRII7nZSiLneLsMaExKxralwSKVQKLI4QyKxNAipwhwxmrq2GGFRWlMZQ9U0uNpgGk9d1ZRlSdM0eKCaK+ClP352Lq0vcftwhCkbVjZ67N8bkrZSpoNQu/POEyeKJEno9fuYZsLO3iEvPvcsxkHU6lGZCh05OmsbFPvXKYd3ieRpZk3NbDbFOcXd2zvhmVCWlYU+SSoZTXcR5gRp/puM76jJEjufAjnqGB9JJuQcv+JcSIB+voXyPtgAXnrgAmtLMf3FFWxToZVGpxmNt3gHxjicKSmmQ6oyFP+FihGyJopiFrMuUdqhyI+LrLujMXUxxeY5TSujURZpDQ2KSAUtWe1sQINLqIXH4Gl32ozKGRWO4YvP09tYp7fQ4fyTj6PTLOj0IknjwnSSkKEr5AjOe6Zp3qTJGhzcIUsTRh7itE2r06XV6mFFA0VN3UyoTYG1joNhxe4grHhHTUFRGcqh4/nr+wgZ1PhRpOh2NL1+RNVYtg9yXro+oKqhrCxF2dBfXCROMsraUZ+4qe4TcN501cL4onUOHWkunj9DXRn+9OOf4vbtLU6vrWGNZXf/Hldf+DKPPnyFfqfLaDqhqGt0FNPr9zBNQ29tkXg+KXFvfxhQbDqsfvQ3aJZ8o/gago0PHXhT1eElJ4M8S9QNxhZEaQtvLLapcUojTIM3NcLUuLKEupy/kN/8ua2kw2gywljDqKhpZR2WVhZ56dpXmOUFjz3+PtY2ltFCoIUIhBQtOJyUjEYVAkGkBUorjhYy7RbEZUapPcsbLX7yZ/4rnnzhPfz27/5f/OqdX+Fv/MhP8OiDbztait8/Fn1kryoh1godp8RJwmQywZgmjK4qhUSFUVSpwXnq2oA3NE0wPCurmqopcc7SNDXWWpx1WOtQcyJUJ01ojEU2IWE+9MCDXH/1kwCBL+gytK/ZWO+CsowPG7JuEDp3ziQoqzl/+kEeeepBnn/hGfZuHnB3Z4vKOjbOXqS90Gc6jih6XUZ5QWkazGiMaC9y/sJlbu7s4gYTqqomdwVLWYu426Ida7Lkr7idp8djjly5PHgbCM0OwPn7iVAriXM++F+YIC7tdloksaYWArzAuHDjKxVM15umoK7LY4KJFKF7qTRRkqKjCHuCsrs7mFLlE6KmJup0GaQR07zGxxFpGmG9ZzAa0TiH1BFxu0V/fY2zTz+N2N1GxBEXL15ibXWNLMtot9tEc82XEATIK6EretIxT+g3ex4vLpwKhBYdoeIUFSUokWLwmGZCU09oqoCXX17KWF+5AIBS53HWUhYVe3tD9g5mDMYVxjiSVNFqt2lrjW71kEmH69eH7BTTsEUtK2pjGU9qyvJ4BXRi4Gcex1QeYwy9bpduq8XiWgdTVDzz4qu8eO0aTWPY3t2lk8ZcOH2KWIdOo3fh2rQ6HdrtFpvrKzR1w/7+gMPBhKsvvEqnnbK5tngf+voXv7lCEpPzuWXhbZiFFiBnYOs67KzLHKFVgFo6i2tqsMHy8+tXngSRjul0ItazdfYPdikbSUzBQhZz5fQKSSYR3pIlGQrQUtBOOyxmMcY52p2YSIpjLSZQxTXWdYnm0pS3Pf12zpy9wm/969/gN//VP+WHPzTmgYceJVo6foTD3K0l0lE4v0JTNWC9QmqFsYamdlhncLWhnNYooKhmNMZR1R6HBiRSOpJI0+ss0O+0abdbJElMr9ej2+3S7XbY3t7luS9eZWNtlR/9wQ/x278bEqFoC5IcRFzQzRKE7aNFRX8l2HkORkPqPceZzWUunu5x7vR7+d3f+jSHxQRzuAuthLVE0kkSvvLsZ7h36xqtuE/UW6a/so6tajq9NtWuZWamnD1zgSxOKaucTq9LZb5WfP/nxXdUInTeouYv3dAXEZi5tfcxdCDIaOommAChJdaBdTWRdWG8ToBSPozUCShcDZGitbh2f2vjnMd0LEo4nBdY78Adn8BJXmJri/OgN9eRj1+hGY25+OCDpHGMaQzFK6+QWsfFSxc5feYMaaeLk5re5mlanTaLvR5xpOfiUzWXdgS6ihR+btg0f7wkATSg1ZsWHVEWdHVSa4TUOKEQKsURMat8IAM7h1IS547pOloLkqgmloJEJCy0BONpwnBiGc0sd+7uMytC/SiLBe992yoyOsNo5njtxpgbt8aUZc2JyakTWKx5Qwvuc6yd9/Q6YRwujTXvfupxslaH7Xt7lEWNlvA9b3+SKxfOUFlDliTESYwQkjhKwgrfeZwx3NvbY2fvALPjWFteYH15AaW+3UQIeIc9EogfsTeOzrU1gbvf3HeYxjl/X1j3jcrv2ztbLK5usrHZxe5NOPQxL730Mk9cXuSdjz/BSrdHWRXMiimtOMZbixUCqSQL7RiHRwgTdkJzuKlEonWEF6FRoJVDCMny8hL/2d/9+zz/5S/w4T/6l7x64xo//KG/ef9YjFfUJkBjK1NjpaU2lroOjYm6aaiqoMmVeIR1SBxxLMnaPTZObdBf3qS/sIQ3MyLpObW6xPrKIv1uhyiJieOENE2RUjIajTm7cYq1lWUunTseT23Fgt3IMx4MeWz9PIn1dNe7FFVY5Ezvekrn2DvcYzRqc/HKKR559AE+9ZlP4KWj3HqdaTnGnz3P4fVX2No+5MoTb+HCpQc52L3JeLJHonrESYRpJ+gUZk1DrzEIpcllxrca31GJsKwbrHchWSBwPuyRj/RNR5h4A/cd16xpqOuaum6IYhs6z1ogpcKaJtQ4rAvsO605oi7YuiFKUjweJSRKCYw/7kwmsSZt9VhudxDK0V1fpsgNWatFnGgynfCWp9+JkoLFhQXw/v5qM45jlFTYIx8SITjS+h5te51w+PsOzV/ViDgRKk5JkgRPwNnjgl5PJm3ihTOUNDhfo+0Q2zRU80ToZESQgQkmuePGzQE3bx/Q6mR4nWJcxN64AgRrKy3SLKbXa9Prx+wfVEjp8dbdnwYA5llj3sQKR80RGch7aLczkjhB6xgLrKwuh7GnxvHAA+d55IHzSO8wlSNNEpTUFHlOkmShE2ksURzR6baJ9OGcT3nEfPw2b64/L4J48at+V74WkvhVMaum9OsJm6t9trZ2Ob+ccbr/KKPDuywvbeAcxEozRTAsavppHMygLAhpODKxf9N6U8z1owDCz5tkQdOnhOLtb/0eLlw4x+/93r/h+S++eP/HtvenVFWFNRbnHdb7+/eN9x6tNd3eMpHSJJFiodtmZanP8vIC/aVVltfPsbJ5iShO2L71EvVsyKnVBRZaMUqGcUKPQFiLs4ZOlvH0008FcPAJfmVaNESVwRWO4e4+aTsjcTUumROqkRRlSeM9Zd1Q5AVPPHGFF69dRTtHWzj8wQ7XzIzB4ZiknVFRc/PmK3QyxdDPcLllpbfEjcMpk07O8NVdsszT6rWR7luvEYpvxrf333cI8XUooN+N78Z347vx7cez34xW+dvcb3w3vhvfje/GX/34jtoaf/zTnwodKufuU2icC7PGdj5SM53O2N7e5ebNW+zt7WGNRUeaWGmaqqZpgp/q6uoqURoxsyXGO7qVZGMA8vk7ALTvDRC+Q2MgSrZgw3G72+N//OhHADjzdIYm5mBnhkIhhArD3zH0lzO8bBgdVpRTTxQpev0OZVEhRKBRz8Y11dTjLUgRiC5KQ5JqpHQoLbDO0u62MAIqY4OPCh6sZ7wTalnrpxLwium0Ip/Z+Y5NBPK1gIXlNu9679u5fOUig9GEeN6QieMOUiV4ZyjyCWUxYXV5gcV+l9V+l83FLo0Z8slP/xE3br6C95LRqOBwUFJUnl5LcOlUm8tnl/iFX78FwFv/2mN472m32mgU1lgmkwl5kVOUNXVpiCJBfzFD6piyaJhOCzqtNutLS+zt7GOroD2zWUySpLRaGVopqtkUYTztuEWv32dczmi12yyvruCdo6oqPvI7H75/r7iTW/aviiP9KQRt6vb2HfJiwu69MWUFnd4SrSxGq4hWq0WadsjShEi7uVcOAScGAerrA8pNqrA9FSIQyQGef3ZEZT2zuqHyAiNUIKF7kCpQVEyg1t6foT9iZs7Houc18eOOtPOhFy+8R+FR3oM1aClQUUJeOyZFhUVQW8vP/lAYq/zl//0f4R1krQzj/Pz/5ymKWfA2bgfau7WKG3eeZZzvU9ZjhITxqKDyNWfOrdFOUmgi7u7fIe1q1hZWuXd3L4jjU0Wr1SGflTQGsu4izjc896UX+OhvvgbAP/qf/yecC9SnbrdLu7OATtrYebqRUgWiu3dkWYtebxHnIa8KZnPlhtL6fm/giFbeNA3GWFqtFk1VMR4MgwXEbEZVlCjl0Kqh12vxM3/v739Luec7KhF+dQI8+hPCDf3qq69y9epVtrZ2aRpDOseuG2uoPRSzPLillSWvv/465y6cY3F9kdQK0sOS4rVDFuZaJo3EyAqVVkQrgq3FDjutY6BjkddkcQwInPVgoC4cVlgWFzsIaRFOIoUCFPnUYq0gigXWN0FrGPl5jT646yEETWOCgFUCCrwKDnh1bUBIoiimOSFObYwNItk52MDbgL1CQpplbJw+RdJKEZFmfXOD0dy4Zm/vHhtrp3jwgSusLC0Sa0Wv00HiGU+GVNWEw9EhXvfo9VdxZgqmwBlodzStVNPqpojoWJzqvacxwTYxbfXCjKkx1FVFN01pYkHlSmpncBPHbFaCU8zyirtqDyMa+os9Jjv7UElk5CknM5RQeKeII0ncTonaCb7JEVKgRTDAWls9pod/s3FU9rl27RW+8uJXKCtB2lpgPK1Ien1meYlSEefOXiSOE1qtNkpF+LldpgZMXRJryfJym7W1FgsLXaITuLto7rkiBKRegA6+w662aKXwUlBZhxEep8Kki5g3xo4gFkeJ+36VynsEFokPExneI+Za09qV1ELSSiQWgW6OXwhlWVAUBVlrna3tbbq9LtbV1E3OmbOnafUFo+GEXm+V0XSPw9EuSnsW+itI4WhnMbFO2N0aoGyXsmpodRKK3KCjlGk+RjnFzRs7xFEbJVN275VYV5Elx89Or9vHVDNaWUySJKFJZRrEnO6kpKSuCrxUdKOYxhimk2nQRUYKOfewOUp+eZ7Pp1gCrd3WNaZuMHUTbHqFJE0zrC0piglp+lfczvMoCR41Do7+ezgc8swzz/C5z32OoihZWFhiY2ODZD4oLqWkzAuKPCfPc4wxjMZjBoNDLp89zcNLp9C7Jen+jLSee++SMesdINc8k9YD3G4rdtePbyopFU1tgkdI47C5QwmN1hJbGlR8lKBcwAUZQdM0FEVoPsZak7Y0Vd7grUfp8DtZ75FekmUJIqmxwoWOtRCYxpFXFaY6Pg5nYyQR00kJPmi/nPO0ez1OnTtFnEWMZ1OKqqQ0NrTMgfe842ne9eRbWF1epdNqo+YgAtNYivo0o7yg2LzM6bVLvHH9RV588XPsH74MkaOXabqtCCEdh6Ph/WOZTvMg8/GSRJVopTHGgICknVBVDcJrZrMRzkU0uNCgknO/kcZDqpBOkGlBKw7GO9prGh/hlMVHkv3hAVmUsbm6zmK/T5Zm+G/h3hbzJhsIrLF46+j3+my0+kRxh73DEZXSdPrdIC862CGvLGUZRMPGQi/NiIVDS8AZup2YyxeXuXDxDA8+dPH4+hDIOrEImH+UwLqwstQiNMViRUiEkqAOkEfqSz8HDh/d/yf+9GFFKL0LlHUJOBd2HEmEYW5Gpo/L662sRVFMyMtxMCPrrNIYQznM2Ti9QGUnTO7uk7W6qEjSbqdIBWVRBpN66xkejLABv0k361GMc2yckqQprfa88WJHjGYzFvopTTNhYbHF5uYZ/g1fAqAuJ4DFInGuQYuQDP18YKFqwnSLSiKKuqGqDHVdo5OYJE2J4xh7X90xN8mqKpQO1hFVXuCtI4ljtNYgpjRVRZ6X1E1JHP8lEqr/fcQR3ueIRu29Z3d3l4997GM899xzaK1ZWlpidXUDIQR5niMQxElMEsf0FxZw3jMYDMB7yrrihVeuMYm3udS02awTiMLWUUdjitWUw/VNDvQCg7Zj2j9+2rrdNnXuiGKL8p6yMKRJjJMNRV6xkMUo5ZDKkqURQkhmU0tTe2wjgquWUngMMlIYa+e2nB6DxSuPzgQizLbQNMElrJWmEDsOisBUy3TCe97zHtqdHlevPs/W9i5KR4hEc/byWXQkcRhm0wrpKy6fD3TrW6+9xhvPf5m//bd+kpWLl/BNE6wKvEVLQTdJ6SQpC+0upzbPc+bsw3zu85/iM5/9GLt7WzQLHvoJ9QnSynQSVpsSRRMH+rGzjiiKKEyFcZaWh6aokS1F5SzOFSQiRdaeWKcsxykjY1g+vYzsZZiyQhaGvtBMioKimRFpzcbiBqeWVjDW8sjDD/Hya6/+mffOscugOKZ5E7SkTV3y0EPnWFnbJMl6GAuzpgQk1nhms5IGSVFa8llDXTuaqmA2HhBryeHBmOFon1u3J3Q6yZsSIbECLZEu9H0dBiFcsPQQwdAqQZCIuYUEcwG9CG5yR1vtE4cc0FUioHyEm28orUUpSSuSCDX34hGKqjzRrc1S4kQzGNyj2+vQ7bVIs4xWx4AsGY8GICGKY6azHGs9mysrDAYTskzQ6XeYjPaJdUxTVwhniXTG9de2eOCRi0idUExyLj9wmdkspyorOqpPbyHG22PpWVneJE4XabWXsaWBKBgJVXNTpcY0KJ2iYk8+m4INLwQZqXkO8MRxjHOOOA6rSu881ji0UighSTotOr0uTVlimxxTWbyrgYav58D458V3VCIU87vBOQfO8cbrb/CFZ77A1tYWZ8+epdVqoZRiNhsznebz6ZJQQ5QIYh1w31krZTIeU5mawlTsjmYUZc4dkdBRQWO0mNS043PkssukY8n7EVXUP3EwBqE8cSKojMFLGyyDI03WjYlbMZmrUMoTx9GcozZjNrM4GxEpjWsMaSpROmI2nWF9jZAeh8VSk6YaJcOwO77GGkte5XROmHbvH465+vyL/Od/9+/wU//pT3Ljxhtcf+MNCgFTa3j51VeZTCZkOuXpR57g3GrgLX7+45/iuavP8cQjj3P5wqVwYxmDM4FtqJXHOk8SR+iox6OPvIX19bOcOnWej3/8D9jaeg0pLAu9462xc9Dr9UjTFGPCi0HHETERHWK01/RnDcuRZ3FcIXxMlrahEVTVjEhqFlTCje4irc4KuYZGSha6Ga32ErWWHNQFpXX4Guw458G3PMbS4hKH+1+f2g1vniI5uaMIbx5PXRVEUZtOR5G2JFJHrIlo7qmscE5gZcRkWtBu9QFJbSsaU4J35NMJo8Mh5bSh3ck4qalRc5ryXBQKjiCIFwI3r4AkOrjxmcZgrUOKgLUKD36YfNJRhJDhpRP0fo4kilEa6jIPboVKobVASY81odwi5PHuQesARugmLU6fOU+cpjgmZG3NaHzIrCjp9PrEaZuFxXXu3rrOeDTj8uULjIY5RdGwNZ5wZmMdA6yd2uDe4QRrJbfvbNHtptja0+/DwlJCUyvuXB8zOBiwtn7s97N2qqTMS6QPCX42GkPcUM9d+kJZIAA64jQhjiRRnJLXNUmSkSQJTVPPk6EniVO0ioMgvKrRsSTttolaCdVsAsYEZ0kXUF5F8Vfc1zi4sQTB58HBAc9fvcpgMGBtbQ2tNU3TcHBwwMHBPk1jwpa4DABNiSBSiqyV0ev2yFoJGQnryQqj1oj9/X12qilaBq1g22VsNDMW1T1se4m83UOo49WPdRXOQb/fRfU1e2qAkIa0ndBf6pO2Ms6e3aSTLZOmKXGcUDcV9/ZGzHKDMzXFNCzZm9qRdwomkz3KekSnr+kuxpC44Ko3Hxk0xlEWZg4qCNF4xRs37/JP/9mvk0WKv/nXf5j0A+/j1uGIX/q1X+furdt02h3WV9b4ge/7PhazoN7/zKc+zc7ODjJOGVU1sQ5TFc4decA4pAzjLLVpQElWVlb4wAc+xOVL5/jIh3+HV15+hvqEY1uRl3RaHZqyJq8rhAdn5zPDQpGZhqWZYXPcsFSWpCqiEwWDJmk9sDWcAwAAIABJREFUdjojVfuc1jGjvZwyVixGbZSOWDp1DnHqDLmpGVQFo+mUbq/LSm+BG9ffYDz78/Hr1lqklOSzKWVRBs1pY2jqhvkkI01TIkyNcBaJREqNteCE4nDvHmJpPncuQWrwrmGhp1nqrZFPDdtbO5xMhOVsjFRRkHdKDV7MQRIqEFyEoZhNg1a7MeR5RVF6jLd4WaK04oUvv8LK0jJZ6uefOWF3e48L5y8wnQ55/bVXefDKZU5tbrK4uIhUiiTNcF4wOTEWKpSmt7CMUIHrFyUJh+Mh06rBFRUL/VXSZJGmqkh1inYxkWuhTcJyp0Xuc8zyGVZ6Xeh6ep0us0lFP9WsLi6yuLTAq6/cII0yDAWLKz22bo85d/Y0CwvHJlKtdkZTG/b37yBdjJAxiY6ITwCHBR4tBP1Oi0QrkrRFVFRMphOiKJRcmroOEIgsmLo55yhmM6gNEqiLnLIs5mWGJpB4TMLo4JufSz+K76hEaK3FGMvu7i5Xr14lL3L6/T6zPGd7e5uyqjg8OMA2hqap79cPjAkWgJWQFEXBbDpDKUUURfS6vaDiX1igMSbgmgikjV07Y6B7xBkoZUlPvEik9rS7KYvdDrHOiDJBUeVk7Q6dzgKPP/Eu3vX0B1nqb7K5sUGv1+X2rVt84tOf4o2bNxge7DHVMd7UOCeIkzYHB9vcuvsy7a6n3Y0YV8FvxTUarMLboKRt6hOeGN4ghefmjZv84i/9MqPhkB/8wQ/w8o1b7G3v0k4z0jjG1g23r9+kd/kKAB/8gfeztLbG3Xv7XL32CqvLy/RaHbpxGvyehcDUNWVdg5YkcYTznjhKeejKU0Qy4mNZxMsvff74pBgoJwWNDBM/SZyQaImrG3JTESMxTUMjHXUaIauGfHQYuupSEQkJ4wnWwjU3QGcpExszpeF7H36M+MwlsnJKrD0XvCerDTujMfVsyvnLJ7aj3yCOdghXn7vKwb29+w23pjJokYELRldeSIRoIaTCo0F4hILNzfN4b7CuCUm+DtDX2jYI6anqCTp+87yxMQWpFpi6oTGe8XgCHnpZB9nOENrxhS98mv7CAg8++BBlUXD1y9fYG91jd3gNZM5gZ4AbG5phIOysrfTIegk3rsVcv36LPC/Yunk51MSVYlbX6DhF6ojoBMRXRpJ23EeomMPhPdI0AyU5fe5ycBccNZjCkySKjZU1lqI2vW4vNCGModfvsdZdIYoFdVMyy3PW+6ssPdXn7NnTJFmKKxpuvn6HuJcwGM9Y21jm/MVNrr9x4/g4lEDrGucmRNEK7XaXTrtHPB+mVlFEUTmciEijiG47Jo5jtI6ZjHMmwxHGBWxQFEfESYLXJpQQbDClsrXDe4uOFEkaU5UeJRu0nKL1/0+o/n9XYYxhZ2eHz372s2xtbbGwtEg+m7G7u8vBwQFlWVIWBdiwHRZw33S9MeFEtdvtMEWiwtzlLJ+xsbFB0zRMp1PUvAuqasv+eEY1mrG8UNEvxmTF8elYWV/A1tDYCjyk/QhqDVguXn6E7//ev4WWPayUjGeGlbUu42nJR/7oj5kUQ0b7uxzubhEJTxRrugurrK6eZmPjAg2HQImvPPWooZ4Y6lmEt1Eojgt7f9Igcm4+kgI372zzq//8X3Dt1i3SJEaahjNrK6RJiq9Lnn/uWWaHwUS70+nRSWNev/EGcRzRXL7EIEroRCmddptOt0dd1wyHA5IsxQuBimOSKAXrOXfuQb7/+38kNEP+5PfDZ3YzkkijpaJWgllRoOOYGEmdKCZakLQ10gmqxrE4mJHlDWlt8bHESR/ABlIxjeCJ8xeY7U+4N9jCKY1eXkfZLiSCttJEdUVyeJe7z32eaHPta+6XozmXoxBCUOQ1+WzKxsYqi4vLCDzj6Sh0933AnOElVZOwtx9WfVmi2TsYsrTSxVhPEmeYpkbrCK0VkTQkkSEXU9qtdmjGzOPXfu2f8MjDj3Lp3EVwcLB3SBInTJOIzmKXtKO5eu3znN5cZ2lRsb+1y+4bV6kpifWAO/degQYeu3CF/HbYrZj8Dj/wvndzMJxy+9oOsYN8tMVeXXJnd5e98fT/o+5NYizL0vu+3znnzm8eYo6MzMqsrLlr7G421WqyKaopiCZpywQJ0LYsA/bCAgx44YUEeCfAAGXA8EaATUkw4I0BG4YpkaJMkWySzW72VN1dlVWVmZVZmRmRQ8wRL954xzN4caNyoLUokhDdPpsYEPHixH3nfvec7/t/vz+LrIaLtFpP0jlHx/eIohgvqOh0E7JiVOesR2XdUFU4Ws0+ke+zsbLCRJzieV59ovIVXhhQFJBXIGjjrKAqFnQ6AySKbrvHsL/ED6/d4O3Lb3F/d4ed/RMO9yeU5ZNdmBMOP7BYu0C7NlIJ4jAkjuqgLZTCmgqDJPAUzpQI5xGHMbaqAEEUhmitOTk6xmqNkqL+387tXa3R53xEUL4lCHySRLC0JFl/7v/nOcK9vT0++OADDg4OCMOQPMs5PDrk8PCQNM2oqhJdVTWa/bwqaI3FO/e+sM7VtpHnCdZPS+5lWdY/EwSPm/clJYOgSTHWePoYPwxZegpyeenCGqenY0ZnY4ynkTKgTAWD3hrvvP1VOu1VZrMcpQRHpyesrg259NxFLm1ucH87Y64duqiIGjFCGeaLI4bLywyHS4StPovigPl8Xu9sncWIAodCCoNUPCawO+HhRN0TrCJFVuX86Xe/yatXn+fSxhovvfgSK6sr5HnO0eERN27VaMjZdI4zlla7w8PbNzjZe8jWxUtsbG6RGsNcg60KQqVIoogir7AVBL02nhJAyWD5Cp975+eAOhB2Oo069yM9mmFEXsywZ3NiKaERkAvBWSAxgYeJQxpeiD6e4KaLum1MinPPYggrR28OigBpBaW2pMZilMLzA2QQUTUTEpviZyWUT0ykoK7WOgQSc36dBMYYtu9sI51hablTFyOcRnqaRZGz4jlAo5RiNJrzj//H9yDO+dmvXOZf/9Z13vriFkWZomTCYjKm1x/QGHQx2S5f+eIFBv0mgZQ8XcK+detDFJr56IR8ljIbT+l2ulSiYuPyGpWesnPjmzRm69w9usn04T7e8ZjlyxcoEkdz4wIvv/Q2X37zJyn2a43rne/8Hld7Aba/ye7NVb71/i2yZofUlcg4RJUGVxhmi5w8f7Jmb3z8Lq+88jrSVOT2lCiO+fjWXaxRrA5WWWr3KKQAG1IWBVLUutVGHGKsZZbOyEuDcEGNQys1UVj7g6TznKyZU+UGYRVJ2CQOEw6PdsjylAsX1h7PYzyx9XUSBcZZwqRF1IiIz5FhSgUEvqM0ltj3KMuccXaG8nN67QT8GC8Ka+5hlnN2ckCa50SDAaiQvKgI/AhrLPP5lKrIUAKSJGCwFBDFz66VzzJ+rALh+9eusb+7R55lCOlIs4rJbE6epRT5Am3qgpCnK5SztdmSUEjhg5RYY3DWEvg+Wxcu0Gg2OTw85Pj4mCRJaDabj/1XbSOk3+4xHy3gZIJqh0jz5AJeXr+IJxTCcwhPIWmRhE1efP6vMew+z/7ePihIRIR1JcaU9PsdPv/mm6Qnp5hBCXh0Bn2cWFAWI8qqQJYVw9YyUTNk72CMEQbZhCCssIVGFBD6imJS3+CVb8A5lFJ4SmHykvXNLX7tV36Nr/7Ulx+nAISUnJ6e8snt2wBcu/Yh1659wP3925yOxly6/DwEEdYLuPJ8l1meEYiaDeh7Hg7LNM05syMGgz5hkpDpnPKpY7p1mtFohLKSdpBQzlMiJ4mFRzLLEc0QGSo8SuJEgXGk0uL7II2lsBqMwQYxlZQ83D9g4gu0L7FWY3A4z0f5Ab7w6+urIq6sbfBR9kTGU49P+eXnT//zAtv1D66xdXGNd9+/xr27D3j9zdfq42vUoLKmlmYIGKcV94/mFHLO1sMZhW1x72GONhXWzCjzilFasdg+IlEHvP5Sn9WVxrkv9pNrEvqSR/e3ufn++3SSFjqvODs9Bam5+NwyoVhw1S/5mfUmxfYnePfucWltjVZf4m9tsfrOl7n86heRwJmrq6r+pVU6GKa5YaXdBwO7B6cslKWSAmsDylxS5oLiKTvPyeyYO3c/ptNJeHh4n9defx2co9tusjIY0AxClKowRYXQkkBJAl+dQ3IrhK2IPHGea6uYzCY04zZKSLJ5zt1b2wjr0e8MOTk8Q1jB0lKX4XCJ9Y0nOk8viDFlgZB1/lnKgDhpPg6EYdRhkaXMz0a4RYpxtoasCIsfhpS1opxGo8kimpAGPp6wNJIIFQUYG6CEj65KoiDAExZPWvJMMpunDNafMBo/6/ixCoQ3btxElI5SzzFiQoqHRuCZCqdTcB4dIj63ErPeC5jlBXdHGUdOkBmHdJpuu8HW5hoXL6wjlcfu7qP6yJRlmHO8OIDnIpyuRb1+leNPpgTFkyPPZu9FfNljsDQlMzlxMKQZPE+otjg71ZyM9oibPl1d06KrqkTIJm+98zZpmnE6mTLNcvxGA0nOycPbJI1lwriH8ARWlLz0Ypvu4BGVnpDNjsnGU2xWogRMJ/U8rl5eqyuG0ifwPF5/7TV+5Zd/hbfffqc2RaoqnK1Nr7c2L/LcuXzmZ772t9g9OORf/tZv89u/869Z6Ipmf8C8rHh4eEgjadKOQpC1j6xzFs+V2KpCo5lMJ9y8foN260k1UAoPowVOC6zTCOewzqKMYclQC4FTSegE3XGF74OwGked9pjbEt+B8wLGgURJzYEyUGkkGl9YjAFlNAqBcDV2rHCGo9PjZ9aKcE8FQVODC9LFgv2H9xGe5v/+xtfZ3z/ilTdf5c3Pf4Gz0RlOSSprcUJxMMqp8FF+l8lc0FpqIULNyf4ZvX6DIAjJheGTu7v86i9d4sWXN3HlDETwDGBgsrfPdDLGGUPRbtPrduh0FItSk83PuLLs8dMvXKarR8wCzQt/46/R3tiAVougs0a7t0o1P4NAkM/qHOHeg338Ky8iOs/x4f63masKqw1S+oTKEviSxlK/BpNYw/U7dUdHHIfcvXuX4bBHgeD6jW2G3S7ZYo6vBI0wwLqUShs8lSDCEHD1yaQsWOm36fXaVLqkqgru3j2l2RQMB6vs7R6xc+8R+DHrKxfYebBNoxeSxAOyhSJLn9w7rbaiyiOEiMnSkDiJSJImgaqV6No5pouUyjqqogIcQRRjnUcQJ1BposAn9BRSSaTyCMMA5alaUSEkZWGIfEXlO6T0cbbEah9P+Xh/gaj2lwqEQogdoFZPgnbOfV4I0Qf+d+ASNar/Vz+rnWc6nhG3m2A0ibastkKOI3ikQs5ETOAqNoOKl1daXNla4mhaMK1OOR2L2vFMSgLfp9loMJ9NKUrN+GyMkJIoisiyDHeOcx90I9L5GC0quoMuflagedLRsdp7lUbjIuNySiU07fYawg7ReZswaLK5oYibPlEUo6QjCCKscWxdfYHcCzg+PiHNCtK8wJUll1evoLwmqBAnFWVVsL76GtNyxMnkPtPj+5zt3mE+f0SaLeBBfTb+7/6b/6JOFguFcYLnr77EledfrCudVuB54WNMlDbucVdK4RwaxdL6Ji+//gbfe/cHHJyOePPNt9HWMi8yPOkoq4pmEIJ1REFA7gx37n7CzoP7tJImq6vrj6+JMQKcjxQ1Wdm1ItJKM8s0qw4CYxGVoOkkXUoCT9AAYg1IB7KWU4TSo1uB50Ec+iRVhe9KQizWOESZkzIjoIdWAt2KKA+eJUMLAEvde2EFwhN8cmubNMu49fFN9nYfMjodUxQZzhlAU5V5jTTzE+4/mKFLkPhUmeLk8JDPbSyxt+u4uLXC9s4ZRelQNmBzZYAnK7Qw+IE8pwbV463PX6nFwtbgq9qn2WiNc5IWmjc3mqwPAsrTnOdefZlGb63GjWU5sjrh6IffJu+3ufC5l4hU/Z4PlpZINp7n3qni0WjEz/97P8Nyd4tFUWD9jKqswMnH7Wf/7T+uA2GaavLCYIxC+SGPHhxy+OCAN155iSrLWVhLHMu6Git9nK27gsqywBpNoBJ8UdJqeyjlMTnzaXXbnIymPDo4YzJJGQ4itHWMjs84mylOTgrm85z5/AnLM27UdhvKV/hRiOe7GvJq6hzo2WTObD6v7TGUqh9+QhBEEWEYoRqKMs/J5nPiZsyQFTxPEIUejSgEqchUSZFltSJB1e14SRIjA58g/P+ms+RnnHMnT339D4GvO+d+XQjxD8+//gef5YVUafFjgScFXSu4oAvk4pBjLbAuJpGGSy3oJo60yjgeL5hnhjjoEIYBQWjpdDpPgh7Q7rRJ0wwhBL7vs1jUwk9HSafTYlFJCuFhAo+s8RSNWTdJ/Aa+N6RyljheISsUUbOWyrTbfYI4oKxKGnGIIECXQBTx3MuvcOliTjGZsjg9oywdufUpKo2VkqKqqApNlVdMzTK9pSF25Tm2CXl4ekrTwZ336iPPn37vuwhPUpnax/b9G3f5m1+DV15+AyHVY6yXc7Uny8e3bgHw9W98i6OzCVGrycqF59g8HmMMhCpEKsuiyikqQ5FVmMAiPUlazLn7YIfR2Rkba2tcuniJVtx4fE1GJzMwYIWmOPfhKKWg5QmqwtA2ktA6IqGRGPxK4gsP6c77bZFYAYHTfJ4YZyS5dYReRJDnNNOUyTwn6cZMszGVnNPrd4g7fdqtJ/IM+JSY5WGlwGjYe3DCH33zR5QEdNoN0ukcXea4ShOq2hdGIet2PuMo0jM2Vy2+r1jqCD46OWBr+Abb5oDn1y+w/fGUYgaJa9ALBigrqShQgeKpWglLFyPC0KcqcpSEOAxQQtJUIT0E6z4kAbSWVkD5VKLC6BJlS2xZcPLoY1wYc3K6z8G9bQBmecHyqxEyUKxvrbK53mEY+2RpRSUhrSRlWVtEPI3KHU8rnPAYTRZY6kaAMi1Y6iwhHVS6ROQ+ZekQgUY4gx8o/CDCWoMuC4pcMxguMz6b4p3rLL/+re9x+/YhL2wMubjW52CywCNkZ+cIJ2ubz/n8ibwpDGrOZF4Y0nSOsQVSChbnO948m9NuxFhrKMsCXwUUiykKgRdGeMoj1xpTVfiej4gTkJZGI6Idhzgh8ZXP4WKKpzySpEWlJxShxY8s1jx5UH3W8e/iaPzvA189//x/Bf6YzxgIO+0OzSRA+SFyNCHBseJXPBIQuYrENwy6XeJGm0lmOJxXlCqmP1xHhR5hYOj3+2RZxtnZiDCKuXr1KpPJlDt37pDn+ePq1tGxJohCms0mZWUoJczVk0VlnMMUDmclt27cJhkYGoM+iFOUVJyN23h+hJTQbibk85xGHKEaEWESMVA+fRFwPJqSqwC6TTKdMk9nzBYz8nlBOTdMbYb1KpLKw2QglKnza59ewN/8Aza3lrE4Hj06IS/gGz+4yX/99/8rvvKlL9W6tXMrA0Et44B613VhaZULly8RJAn3bt8hEJJQCspCk+clUlpGswVxGHF0esQn9++CJ3nxhRe4fOkSrWYL9dSNli/KOg9LSYmHrkD6teeKcIpACxIsnrI4UesWAQpVH2Odq02CRJXTlgrtKXqLGdJKvNMj3CfXEamhCgXNRlgv6KOYjhXET8lE6iGZZ5rbD0+4ceMR167dwDhHlQnWLq2iXUjU8PCCFsrvgKpQfqfu/RaCr/2t13jjLUMzbjObHJFnK7zxZo8b1yGKZji3z/LSKuNqSpzkWHyMDHHIZ9iINszJZYZK6oN6TkEY+LigPubPi4rMBnhZjnFzRLkgL0oC38dTin5TMTs44fq127x35yEAanWFxksn+L1NvvDlt+l25gROY5Sp/7aOiKzCaP2Mn3C322U6naJ1RbMdoauCXqOLp6iLI3iUThAEAc1WQlVkBL6PMTW8NQg8Wu2E2XzB/QePGPSXyIzAlDndWPHClU16ww5nheH0dM74LGe42mVldZnBsAvcAOo+fXv+XnvSkIQQeT7jT20ysAhr0GlKMVuQlwVKebhWhpKCQMcg6k4s6SSN/oDpZMR0PEanHtPxDBVIlpeHlKVDGgO+wgs8Gi2fRvzs6eGzjL9sIHTA753zBH/DOfdPgZVP7Tydc/tCiP+37gH+rQbv7WGfK2tNfNPgVDpm+ZROq8FlaxgdzfF9yRyPe7tTjtOS1O9ikoBcl4RS02o2iOKY4+NjsiyjKDXSC2u4p3Pkef54B5XmmtmsIPATqiynMho/eNJNL1R93MZY5tM51lvQ7A3RrqJyJWUpkKIginyUsOTpAk/5yEZCEofofE527w6n2zuceZLOO+9wNJly7/590AVoTZ5Z/G6TzaVV5vfuM987IG8UhE/lehuNAe32CmES4vkdKi1wQvDDd9/ljasv0h8MUAi0sVAZXjrXEV69eAXrJNZX/Oj6ByxmE0JPMltM2Ts+pUDiGk0eHB1x49YtAl+xtLTE6toKly5doN1q1W5mT3mW1LCA8zY2bQjxEaUhMo5Q1Hh3znOHCvE4EFrrQEksEt86fK1Ql7dILm5QfvdbUGXk+3eR1yJE5ZiblHAwRJzDbr2NpVr28tSYz1P+1e99m29c2+V4VJE0uvQHK8zznMJfYuvFn0SbnJlpc31nzu7BlDAsCIOQdichbDquvtLDlrB5cZUrr/1tvFDxd//Lr+L78Mu9LxKFbRYnM1auBJjEUU2D86rqk3l0lgd4Sp63frka7281pa2YVxVmPGP/zi4949hYqv07qnmFUTEmVHgqYPv+EX/43jbf2q8zSGuV4fLeI1RuUaGjsRRDpQh7HTwVkZhaBlT3tj+BCWuTgzB4viAIPaoqxQ8Ek9kpgRpijU+7HdBoxCRJyMIUdZEEie+F+H6AHybs7NzGoeh0l3CLii++/TrL7T7NxGdSZtx9sMv2g0OcCrAG4jjhwf1Hj+eRJAYpSiSGjXZM5D3gdDRmNKp3amWq0YVBVxKjBdZUSOXwgxi0oVwsUMojOff4UVLQTGJOpqc0wiatZouT02PiKKXb65FnI0wKUszptsGXf/XFki875/bOg93vCyE+/qy/eB40/yk8AbOurjXZGtQ5OInmR999SDFeoIKQQadHo7fEVARMy5yFnaKcYin2MZEFzwcEZ5MJaZ7RbDQQ1nFysEdeFlRl3WkQnAc7bSzT6QSsJvRrlzvxlBOXtXU/p3GWi5e3mOWitiX0YiwWCyinMXmB9ipU3GC6qDClZXZ8zOnNHyH2tmk0WxxNx9ilNplocjYqWOm1aDclRcfRWV7i6oVN3v3RB7jRCKsgmz+pXv+z//5/IGkGSF8gPYX0AjwvwiOsySzuvHBgLNJBfB5FjWepcEzLjNs7nzApppRTzQ8/vkaWW/r9dWazI4p0wcXNDZ6/coV2kjAc9Gk0mihVJ6qtebL9aTZjcgRRGGPKCnIHlSFGEgCeg8BBYGovFkGNstLW4SSkWiORKCHRrTas9vGVh3ZQTmeohzskSJLIqykuWQ55xlQv0IP+M+vn5o2PuXnnIVUwoLnaxwuaPBwf0+1u8t69M5LVN5nOTvm/vn4dbT7hdF7DODzPo5EkJL7hwmqTSxuXeP7qFuPcsP1gB081iOOEIFR4ytBLhnx0b0a35xPLinAQPDOPWV7WCLKyottu0WsnOCzzLMfJAOXHfHg4out7+KtN4jRDTAum4xFxq8ksDLl/OuZHR6fsnC+/YrrgBzevEXXvMrzcxIgGhcipywoVStV9yS6wVPZJ1bjfb9Hvt3n4cJeNjVWUXOPR3R2yNCMNcuKg9vpRnsS6ijBUWOuB8xiNpsymcyqXY4VHlCSUlSPPKhqNBv1+h929R1y7t8ONT7YpSk2j3STLShbzjDx/smZbkSUOJUmo6CbgOOLgYMbotAvAdFKSznMePjzj2vW7bA77vPnmayyvrtFq97C2oixy8sUU4qhGlzlLFAWAZX1tHQGcHB0RqrpQlqe7VNzi+CAgn6x+1jD0ePylAqFzbu/845EQ4jeBLwKHn5q8CyHWgKPP+npKFqSzMY3NJYSQeHGP7aOSfpywvrkJUYdZKYhCiavuIrMxF/oN2ksdDjPH/qIgKzOQsL6+RiQVd3e2UaruWsnyot6dUIuDBRblC6wz58nuP3v8AkTdZnc8PmQ+C4iTBOH7KE8ReT4fX3+fvYNH/NzP/wJKxXh5gXz0kL0//Q4bsiJYWkKfnnAQ36F19U063T7d9SU6icRUJV7UYDJZMM8rmr0ldHNBJp6kXDv9NtYVaFtiSke1WGCdotSwd7TPKy+9xrC3hFNgcVSiPhZMFnNG4xk3bn/M9Y9vIX2f4/EpmanoNHuo6SlR3OLyiy/z3NZF+q0mw0aCLxzptMBGAhV5PCWtpN1OiLwQJR3TclxvD5VACIURglI4EuOhrMMiMELihKRyFqxjYQ2+UmglsRjy2ZzY1VVcR4BvZS3W9iKCRhdjZ7i8wlWWP4ufOTza5+qVFfZvL6iyMyQlKwMfXRbkVQb4XLpygarU6NLnna0t+v0e6SJFF5qWHzM6vs/e/phrH95inAYssooy99CVwwmNswqsQSqL5y34yuc7/P2/9/M8nSRcnM5Iy4q0qEjnOUosIUXFeJoilOXseMZOrtlaG/LAj+iZijQv2B/NeKk94PA45XsPj5nHwWPDmd3DEd+49kN+/he+QrudcHwwwUqD9DyUp3BKPO6aUTwVmKWh1+sxXH6VpaV13vvhB3TaA+KoxWKR04y7NcrfVviBj/ACitwwm+bkWVUXNDRYp0gaLebTOVmm0Sg++GSb+w8fcfPeLqNJhheq2iyp0yVd5IinGM+eOcPkilnumI9KhJSk8wG2rKkwkd+g0W4y9hdU6ZS9fc1Pf22Fiy+8gECR53N2t0cURU6gHHGjjdFQhQGLdMrZ2RH9bgthM8p0jLMLFtPrHByfYd0FVofPPqw+y/gLB0IhRAOQzrnZ+ec/B/wj4LeAvwf8+vnHf/lZX3OWl5zpCn+WUljB8rBPNp8SRR6hB/ujY44Xmm6/wXDYxjtNMbMz4nZMw3nqZ7DCAAAgAElEQVQkyiGTCBUEZPMZUavD8vIyp+MxTnicTWbYc1+KIAgQ1B0qaZbhIek0m0/NxgKf0kEcB/vbNNMp6xsXMZmPHzbwI8fHN25w8/ZHvP35L3D1xTdwixwbewzXV+lIQ9RqsRLGpEmHRhSxHDVQiU8pKpzWLMYzJk7Q2bxMoxNxYkIWOgFq3dw/+PV/RBQp/EChtaHINcYI0jJHKcWv/MKv8uYrb4FxnI5PmeV10no6nXN0dMaiyPCtxOUGqRXpJCPyGgz6If1Bn0bSoBElXNjYoOUJAgnC8xBKIYTg9u27j69IXqSUuaUscoo8QzqPIPJYWMdR4JHicIXBM7Ufsj4nrVQIAiVxniIXkgxLMpvQPI3JnUUiENZQFSml8NgvU4pFRstZhtKhTUxVPZv3sbbg537qKm99aYDVPsIYKl2xvPRFdFVQVhW5nqPzGcVCohJJ2CiRxETSJ4wkVrxGoSWTecY8r8gyDS5EihBtDWUFi0yTlYZsMWejWyGdoUbL1KNvfQatBrojCOKAVjNGm4J5sMAKj9wCcYKJmqSygRKOj8+OaL10hZNmgx9+fJd00OXi1Sscvl9Xf7XQvPKFFxhudsiqRd16mlsEFl1V52sSPM97BjixWEyZzaZcvHiRf/Xb/4Y4TOhtXKDV7JPPM5Ty+VTRHscx0/EZZ+MZeQaz2ZwszzAUxInPdHpElRWURvHNH33Cg0f7tFptCuOjHTRaEUiJUh7j8RQhnrw/zcjSaLdAeEwnGbN5yXTiYfJ6o9EJ2gS+5PUXXuTChQssSti8dAk/jkmSBHdqKNOU8dEhajbBFoZWt0cYxpgyY7EY0UwilpdXOD27Rtw8YLgacOHFK+CF9Dp/tZ0lK8BvnpM+POB/c879rhDiXeD/EEL858AD4Fc+82SiJkkjZLzIsTKgPxwwn56QzmYMOxGn0xkhGl0KVCRp+KAWM+Z729AcEAdNlApotBKkU2hdsr6+TtJqcXf7AWEUnaOPIPADqipnsVhQZjmB8jBPUY9rZJJFSMd4csbHN95HegG6KugPNxFOsagKjC55/XOvMTo9Jl/Mkc0GvHyJC5cGrMQhjVaTZDJnUcKCAE9bKlNgipKsqn2EtZUErQ6oHJW3acjh43l8cOs23X6TOA7I8+JxIMTXdDtNnG9Y31whIODi5gb2fAtXWktlYTKf8713f0Cp4XQ8wQtDhsM1oriP70V0mg2uXFyj16lNb5SweIEkLws+vH6TD2/cejwXrUum08VjXJpzGqTHGZZcVPhVxdgKCunTkYqGUnhS4mxtuDV3JdY6Jp5htrtNvH9M4AxNqfCpUDplgcdhkbMQEwZK0Gw3GA4v89LVF55ZK1bXQWGYwB/94Z/wnW9/i9HpiLfeepu/+x/9J6wNlrGqz/HBffykycFon8lkjNMOW9RIK+0EBoEKI4wsaIUxk/ExlREsLXcRSYVaDvGDAE8NmZycIbHPtNiJssJSUQqN77fIF7qmqleOw/GIpbjFq2+9yWgx5STTaA3ttSHLr65jT8asDCO6WysczEs2OnWAbV8a8vpPXKC3ElEVBWejWpyPk1RF9fgBTlFSPNVxozzBYrLg4OCY9dUOL1y6gq08GkmXSLVw1qE1aC05PZnXQb6SjCYTdh4+wFeOSvc4Hc84PD4izSsm04L3P9ohCpt0+oaSgjD2GYb1Q/TsdAJSsrTc4+7NfQCGS8tok+P7ooZaoJicNImiuvLfaXYoi5IwCFhbXSKIWqjQZ3//gI21NSSS8ckZH137kO7aGoIaz6UCDyUUZWGpygqhNJ3WmP5Sim980uNTvDDCV3+F0AXn3D3gjX/L90+Bn/2LvOZgdZPIVUyyCX7iE0eOtQsZezt3aIaw2hLYqsBYDzMvcdmMTiJAFki7oOk38UJFMwlptfrMJilHR0cIVQuGpZTIc1vIIAwwpiQvckxVgbHk+ZPEs1QgrQMlyPMUq0uOjw743iLj0pWXufrCawx7A3qdNm9+/g1294/45PYtuqsbSF9AFNFprtIcDMEbkc5GpIsCnaWYRUq2mDMuMtISKgNlmVMUx2Q2w8kneka0xBMBw/4y4/GExfQU5wSDfkKn6ZEtRiwNu/gyptKGwta/m56N2Nl9wLe/9y7bD/ZYXt9ENDo44SGiFsJvEkVNVvpdlntNPKERSiKUz9HpKT/60Xucjka88/bbj6fS6/TQqWU+TbFWIZAUqebEWQIDpqg4QnHXk3ilYSUQrHowlIrTquDAlbzlNzhU4EtJUlmkH5H5kl4ocVKzwFJ5AVJKfM8ndT79RpMvvvIsdMHKJnsnJTc/+Jf8k3/yzx7b3F177/sok/N3/oP/GKsc8+mUXiNk2Osz8Ia1jWqpUS7EUENxDRbpOW7d+ph//j/9zxweHPG51z7HL/7SL9JsRVhhMNYhpYdc6z7jbHewmNBOmpSUHO9v4wxEfkymoZyVbK2vMVhZZnz3BngQyYDQS6gqw4X+kNb6Oh+6nPVui3RQi9fzKOLGrfu8/9Etjk5OmC1SjJYoL6ERt0j8CHf+MAqeqqa/+cbr3L+/S7+3xMXNZXbu3EWKBM8TrC2vc7D/kCxLmU195nMQKmI6y5gtUq5cvULk+cxmmrOpZGkl4d1rN7j/8KSW/VhDlCQoW0vQiqJEl44ocrRbXVbWngjvreeDK6iKBVhQtCmL4LEAPjcFhTNo5REGIY1hn6KqGB2dYPMKUxY82H3EN7/7Ayrl83f+w1/k1WaTwI9JswxdGor8jFLvEattsrMJew+PcZmh/9pVxjsP/9yx58eqs8SjoqwqtAFnJSWCpY3nSGdTimxOO7DYhkB7IW6eo5RBKkerndCMm8wDHxsqFJpBt40pNbfu3WGRF+Rl7R0rZH3D5Nm5ANS4WrUf+dinZBG+X18arSuGwz5f+9mf5fj4hPsP99i+c4Pjoz0+99rb+J5i0Ovy4OEjjg8PCPwIrSvmyuP0eEKnuc+8ShmXU8osw6QFOsvJ84LUWIrSUlaa0iyIEsP6YBNjk8fzqIqCfq/PC1dfYHd3l9HxGVEU8cqVLQbdhFYUoyuLDASFdhyfjQC4t/uQ65/c4eHRCVG3S3u4QqGm5IVG+gl+mNButVlZXiL0FEpAmuXcubfD7dt3SZKEn/3pv8HSU0WKNMt44803uPHhxxwdnSGkwBlL6RxUEotH4WBSGaQVHKUL7glLVynmKKbKYaqSOPJZkoKeX2sQW1JgfEXpNBkC50kCa/Cw+L5kfLxHuf3RM2vleCEYiiX++Bt/wsZyl63nrjCdTri/c5/vvfsNfuIrfx38CGMWaAdJM0b4IQjNzv3btJMhm5trSFEg0JQzx//yG7/BvVsf4gcB7737fX7ynZ/gp375lzAuR1MxnY2hqp6ZRxZoksgRhjGqTEnHC+bjBWlu6cddsumMeehhqoy00pTSp8wr9m7vsfzCSzjRZLLIufT8GrtxnQ6Zabj7yQnWalY3LtDrB9y8c5/btx+QzjXSSoSTtQ9J/KRC6nkecRyzs7PDSy9uEcQBi3HKLBvRqiKUZxCVQesSJwTptOTg8IiV5SWk8rh+c5vDwzmVlZxOTrizvUej3SNpt9ndf0SQCLwqYHRyjDGO9bUNti61ODsbY3mK+KJCsBVGg7ZgbI3mz8d1d9BU+jR6A8JWm9IJSifIsgJdaIRUaK3pdLt86Se/hFE+W1tbCGFJZxO01kiVYdWCbq8gCQeUWUDbNtBByGheIk4a/HnHj1UgLI/uM04ts6wiywwbq0OWukNUkHB0esDW6pBWo828kpjEEGjDIA5Y6/TQRJw5j6OyAFvSigNOnGYw7FAeHZPnFXGoHle3qlzWMFdXgwCkkrQGT/olwzCg2+0wGo3otFu88vKrZFsZFy4ccvP2x9z65Dbf/963WF+7QKvZQALjsxEXNtYwesYss5zMTvCQYBy6KtGmwghN4SwWiSd8PCnQtqIVSwb9hK1ehJKDx/NQiY/Gsnt4yN7RAVoZtCw4OtknUKs0WwPyUmCMIM81VVbnauKgQb+/yvp6Sa4tfhATxwYrSpI4ottO2LqwztpK3enw4OF9trfvU5Ylb736IltbW0RR+Lg3G0DjCBsxfhTWbWafVlKEoAZZ10c75xxOOArfo/AFp9phnU/ueVwrHL6BRpkTlynPG8ml4ZC2EDjjobTA5CVaVqTC0BIhSEeWPYtWevfmfc5EwqOjKRvdFovpGcNejyLtc3B6xo9uPmJ162WUl7B/VtDTDRqyjfAEw6tfJPZidOQjZAFUXPv+d7l3/xHPv/QS2hgOD/b53T/8P/nrX3sLFQVIUa8X/8/0b7X6AUo6ZqMJ6XiBzjS+DOg2JaIqODx4QBg4nl/bqNmU4wUrlzaw2ZSdkxParYBO3GJ0ekjUqp/EHd/hNWJWlwb0ux329o9YCzzazz/P9sNDFrnGWY8srZgcP+no2D/YZz7PMNbwyd17DAYDjg7ukOYzpvMzkjhAKUGa5gjhc3aW8+D+Hp1OG1EWvPvD69z8eJek3cbKknmWsby5wcpql1fevEAz8XHa0h9ahktLRJHP2WSX6fyM5567+Hge2aJCqRDnxVhnkIGh0bBUo/ohYq0iDCO6/SH7B6d85zvfJZvOee7iRYarKzSaLTY21hh0GiwtrdIY9EnTKaYqsC6kKCx5bpgnfUqxjJMKteFB5XAscBcs8M//XLHnxyoQzsoh+0cPMVWOMxpXNtHZDCUk+ycT8soRRxHCGULP4HsBYW8V2R5gsop8Omc6TTGV4v7DfcbzFBlEeGGMH8P+g0fkWX1jD5eG2LJEnbfmSSHIyifymTJd0G01WV9e4vDwkJLajHtzY42kEdHttvjow084Gx/jTEW2GHPn9h02VjtYZ8iNwzoI/eBxpTXwJFYFKBxFnuNmEzwETWXoNBN6SYhnFZH3pItCWMvO3XvsPnyAlNDvtmm1EsJAsTRcI4wjDk6PiKKC+Tzl0e4uAI8O9yilI80X3N15QNhsEjcTgiShlTS4tLHMcxurHO095HjvAdZYti5e4sKFCwS+QFfluWvYU2DWsuAH779HOk1r4ylnznfYAmsl8rxy6KSj8gzCCRK/gdZl3TOKQXXb+FGEXpTsZ6f4VUEeR6BisjRjYQx56JP6UPgeNDp0mkN6g81n1kqJ4OM7+8xzR/e5WpZx9cUr7O0/Iq8i/sXv3CRqpUhfE3o+TgYQdogaCZ1OQBwExKGi0VAMeg2+/0fvkbR7NDpdjAFtDbsnhzwaZWxevoJUPqI8oPoz7nnpWc6knFEWGmcFUdRCCIkxDldpsiLDaE2sPPrdGOFHZOMpkdQYWxBEEeKsosgM4XkRxixqgfH0JGdxmjGbz+nGTZ67uMrlS1vkznByMuOD9z/hLH3y/qSLFBAURcH9+7voyuH5IZWxGOvI0hKlAkanp2SZptSSk+MxQRCilGSel5xMZvTDgM+99Ty7+4+IwxJdnSFczNbWZc5Oj7l8+UV83+fmxzeJopgoqCjzpy6KCjAIrPGw5CSxIfY9js5R/ZktELMhlTflu9/9Hr//B39AI0n4ma/+NM1OwsbyCp1hF0+WZGe1RGa4uoJ2ltl0jEETJTGeCvFVRKgUpbA46YiXHNb8+Q3ef6wCoTUdZic3EXYO0nCwV2BmPmfTOYvScbw7wjlHk4KYgtiXPLp/iAwbmNJQFDnJYJlcFuw8GqGlR241s9mCoqiYnk1RXs0jzLIcnWeIUuP7NRhSP7XGdVEwOjpiZWWFteVl9vaPsM6BCFkaDAmDgEbc4eGjPeazCadHB9y6/h6hX1sRFmVJda5b8z0fayxVVWGsodQVeTonMAVbFzZYXVlF+z0KZZhFEfqp485/9su/QKMRE8chcRLSbCQkSUQziRj0Bnh+k8X4IQfZffYOTvk3v/+HAJycnPD8C8+TFhVvvvwSj7a3kX5Io93F+GNOXM7NYszmUp9XXnyBXn+IUCF5UVAUJbjaVrV6+ijoSWazBcpT+JFPVZY4HFLWu9tPvUIqa3Ghh6wcZp4RWkHYVgQaGqHCeoKsGWNli0U55VuHp3y/FaMdzD2oggZGe0gJEz8hnqS8lD67uF++ssaffOvmOTi1pMhL/vhPvkGpCzw/oSxCShtgpEVJi/RDUiMpXYFgCjiEM0gqfGmoHt3g4mqHwIO3v/Al/vRb3yFNFb/12x8S9S2D3pDnh2PeeWOdpzVFH/7wE/zAZ2V5mSjymU1nFEVBmmoaMqAfBNy5fYfrNz5iY3VIR0jMIsXrNlju9ok1+A6UHyFE/T/6SpFrn/mkpLIl97Z3cNLROTxkeWUJpTzmk1MGXUniK6bnLgZhFDHsr3B8NGJ/f0SWWhphwmJ+gi9CEhkR+IIHO8fc3X5E0mwyGs1Q0kfrHOlJesMOvWEHGQheuLrGylIHhwFRYooaw1UVhpsf3SIrcoZLGzQSn09uPRFUCyGxtsCSoXyPYuqxGDvyRU0+nuUpKuriBR0+ubPN7u4eYehz/fpHfP6dt2rbAhcT9AZEbcHobEzYaeM1EyqjaXYa9IY91LnbHc7iO0ElLNYapPorlM/8uxjPexMqOeZ0cUYRJEwmJdnMUDmwKkALjXWOKPZpWI/AVnhAVmboUpPP5kgZoP2E00VG6upmbykk88mcwEEo60BoyqK+0fMCayxlWdJ+6tgjgCxNOTw4YG1tjY3NDfb2D8iyDCklnXaHK1dC4iTh+9//LjdvfMRsNubaj75fi26sfbYV9NyL5dMuF+EMgXRk8wllnmLNJs4aqlbrmer1L/70O0glsOekl0qXaKOxRcrx7oLKwGSes/PwiDvbe0xPa2zNS5eu0I1jXv78F/nKV7/G17/xTX7nd3+Pb3/9j1hfX+X1//TX+NI7bzHs1m10lbFYW0MxnXNYY3HOPuMf7Ee1x7LTtYFT7U3rcNaee//W3h1WgxIeIgSrNMaTpNYQxjGV51OWFc5TyCBi3zP8sa7YlANazQZBM2RRFhzuj8jTgl2dslx2WSme5XZ87cuv8gf/4g+gSNm5f8YLV19ibWODnZ1tgjwj17ukmcWLLJ4vWFvrM2wsU1kfY3OEDAg8RZWl6GzG6SND4hv+9t/8CnduPcLmczqNmBvXt0llRF7s8LUv+Lz99oVnzIHiZpflYZ9G5JNnM/rNhOHWBnnumB9PaQqBiSJOZiMWi4xWq8XS8gpVIJjPpkRejHOaNM1ofkr6GafsHx/RHvQpMHTWenS6TTbXl3AaHtw9gspy+dIQKTJufvApjLdFXs6wFqbjgnxxgic81paHTGczVFOyfX+Xuzu73Lz1kKyqGAwSRuMJURSytryCkg0mszH5+IzuWpMkcQwHK6RZyunpEUImTKZTnDRsXdzi8HBBVVoajSfSs6oQWBtR5I6ibJCOfLQ2aFu/h+OTA4QX0eov02y10cYSC8Hq6grtTodGo0lmS+aFIctLwiQmijwsmiD0iZOQ4NxTtaoqnLP/D3tvGivpdd75/c4571pvLXdf+t6+vbG5NNnNVaRkkaJEjWzZhu04xozHSTweG7EnARIMgkycxAECJJMgRpBgviWwB8iHjA3ZsifCxLJsi9JIoizK4iKuve999632qnc95+TDW3dpkrJFS7Y5AR+guvrWvVX1rs95lv/z/5d8lBaE494Fb/p+7QPlCO/Xb7F4UnFxu8KaGMOZmMOvuGxsbtGOVxGipOfxfI+ggKq1zM1OkLqSYZIxCFy6nQHFMCZQHpnRpcNRLk7FJU1yHFVexM1BD43EVSWLhzWG0D/owO05gDiO2dzcZGHpODMzM6yvr+9LDVal4ujRBTY31xDCMj7WGNGIp6VQknknnsniiLJz7TounqOAcvRvOBwSDAYo18U9pCX8le++yPrWNlu7HRJtscolTnOyOEFnORJB6IfUohqhH/L0sx8B4NkfeZalIyeYnF4g0ZLFo8c5fs8prq/cYnJumvmjx6jUxyhMgdH5CCRssAZ0YSh3v6w97pkbODhKYQqD9RR57pCnGVmaIyUoR2G0xnVkyRXoKmzgI3yPrF/g+RVyFIUpqEuJNqALh1RbpD+O8gIC36XV7dFNenjVgMp0hdpcROHGdx3Jc/cs8vRjp/j6V17hoQfPoY3l1u07dLt9+p1ttLCk+TrDXobrK1ynDc4kRvo4rsR1xxFhCEWBq3Ok6aIzy9eef57N9RaLS/PcXttkYhzuO7FIXvicPAGD/oAsP4CsDIqMfjKgtdNhPPJYWJxmrBZyc3sFmabMzS8QZynWBS/0cd2QfjIi480K/PEqFZuAkzAzWab41aNjnMnmSTV045RhVuXo4jyhC8urW0SOJDMFQhsmJg7qyVIKHFcwPT1HGEySJB3Iy/PR6TYZH68xszDH2OQiDz/2Mb7xFy8Tx5tsbu8yN32EI3NzRH6fmzdjjs3M4FcFk1M1Op0u62vbRHWPJBuglKWwGZs7a7Q7GbVanenooMG3sR4hRQWrQxBVwkqV4FSBXy9LPv7EJFtbW+xs3eLeU4skn36ORr3GEx/5CK7rkhUJxuQIYVGBO2rKlTXLIAypRBUcx0GIEliujcDYkvlaWtAfENKFv7YdTRJiGWDuO8rxhQcIJo/iVANuXL+M8/rr3LxykyI37A5j6hM+k1FAXiQME0u332OsVkWbHJuC5zrk3YTEWIIwRKQpxhY4okw7TWIorMF3FYErqApN88aVu7ZnD6za6/VYXl7m6NIxjhw5wtra2r5ampQBj5w7x+z0NK1Wm257h/buNjs7O/ti81prhCiFwF3PJfADwjAkCEOiKKJWq1GrVgmjCCHlvqMF+DffPs9gOCAZlmw6vu9jrSHrdzFpSujLUmZUTxBMTyNU2VSoNzwmJsax1gAKL/AJwpDZI/MEUYV2t0ucpChPIqzBasi1RhtRaniMJCbFIYaBoO5hsgKrBcJ6oCHux3ipC0piKWm9yHPQGikFFonMS+0PpSQYXYpVKQfjGUSmyXXG2s4aG00QQpPlMSbXTNUb3HffEuOTPoW5m3XYVS6//uv/MXfuvMbFi9cYH6sShSHrqysUCRSmTdXPEAJ0CrvXm5TrkkBKhaUKlHRRWINvm6TFOMiQE/dOMj4+wesX7pB2LrCy2WPhyDzLSF7MjrAwe0BNNlVXjEUwyC1CGu5sbLC+40Oh0abg6rXr6EwziIfU6lV0FDAR1Qj9KrbmsjrsMXdsEak1ciTa1bx9G0cpThw/Qa4taxub0OkySIfMRxHRKZ9bqzk7rS6ec7B4KyXpdoYMegnjkxFhpUJzs0Nnd8DS0Vl6gybj9UUEARubm5w5t0S37dNqN5kYm2J+YYpjx49yz33H0XaAcQYsLM7Qbt0mzySCCkk8JKqE1CKPLIuZX4ioVCp31ZLT9PiIDSpAyAJHSUQYMBWWXJnj88fZXr/N9uYWVsCPPPkYc3NzTI2PkQ+7NPUQx2iCMCAIQrrdJlu7m1TH6kRRiOM4GGuRlE3OTGsKbZDKoygK4uGBtOj3ax8oR2iHC1jPZ2L+fszpB0D5GDMkdAWiGFJ1IdOQ5Bm5tsiwzvZGi4HxEG5IAogoxA0EWAc1lJBDPIzRSUzgeKWYOpTC37JkG1Y2wUk1cf+ABXlvtTnsDDc3Nzly5AjT02UDpWwTWBq1GtVKSJZlDPtdup0WrVaLbrfLYDCgyEs9FeWoUkbA8/EDH98vxayllKXOiuNgRoL1e7ZYrRKMNwhcSTXwaFRD6tWIXFvSvEBKgef7NMYaRNUqjUYZVQijSZKYSjWiyAoGgwG1ep1Go4HRupwkGMZU3Uq5qmpLnhuMlQh5oDF9ODUOawE6K8CU+DtpJdYxVAixSpHnBU6WkacZ0lpMYSlyQ64zNDlWheVxLTRpoRHKQQUBaX9As7VNWKlgjRnxTgs8paj7LpEjcd9jkQ/DgNOnT/OVWxcY9HulIFUBQihmpqZodzpIpZBSEAYlZ11e5CTxAG0G+6ULgcDzMvwg5MSpe4iikNffeB3XFzz99FPkVDm6uMi5e2ZZWFggig7gGY+eOkkS9+lgaPUHXLqzCm6IVziE2iVSIaFw6HcTTJ6BdmhUfRABG7s79Ioh4dwCcxPj9LfLYt9Eo6w3TtbG6MdDttfXqE9McGRxgUwXuBhanZA4zajWD1LStdVtilywvbNDdQK8SoNqvYHOFX7oMoz7tG5fR4kpnv/aV3nwiSWmp8fYWN5A3L7KiZNLCNdlef022zurPHD2GFFUQaCYnVlAupbxsWBEaefQKQRKCKx2ydMDR+h5EY6jKIzGHSnaK8dBjBIdz3E4dvI0M7NzrK6sUmhJ6KZ0Nq6QxwPCaoNabRLtevRaO7i1gNn5BSrVCGMtmS5wpFOyWhuNFZZCa4QpyPOCOPl3nKrfZlPkxhAVVZLCpTPoUfS26G+sMVd1GFtosL2xi9UhkYTNzSbruz1yv0oQhgyHhgJBL81IipReoVHSw3UEXuAR+gGDdOQIycANUC44jkXnfWT+l4/mNJtls2ZpaQmtNVubGzhSlKwsViBdB1Wr4fkBjfFJsjQjzVJ0oTF7gG4pkVLhKImSYp9cE8BYSzGiLd+zf/aLv0IQ+Fij8RyF65RMJ1IGKDfAAtJRaAFZkWNHnyXwabc7CBVRaEWn3WEwKKdCsqycK9VGk2YpIk+RKKwtdT90XuxLYx42N3ARlALcQliEMESui8Qp4RLAYDBAaw9FSffV7w8xcYFjPYwQKDfAZDFxnhEGHihJrVHDJglZkuA4IdqAdCRRxWNurMHsdK1UWTpkewvVM888w5/92R9hACEl/cGQ+x84y3/1679BPIxxHIUBzKhY2+/3uXr1KlCMgNEWa+HLf/xHbG5t88Ybb/FTP/WTNFtNHjhzL//1P/vPkU4FKRWVEbb08OJgugZfBQy7OzTbfQqhEI5LOzW0hxl2GGPiHE8InCKnLSzuVEY/G0A9oqJqdLUg1IrdkVi7UhETYY1uJ2Wn3cEL6+RW0M80hXCCnhkAACAASURBVLVoIZmaOUIh/P3mH0A8tKyvbjE2VkW6hqvXbmLTKo4QNDstrDHEcUpzu8nsQoOjJ+bpd3qENZ9h3ubyzR616jhRI2R1Kyk1YYRXEgz3MpSXMTE9gTGCVrNNmmbEcck6VBQHWUwcpwhRLnpIhRAuWh9geIXjIqWkHngE1QjXkRRpwu6GZdC16DTF6gHWt1TqPjMLCyi3ZJHKTIHBkBUaKRWF1mS5BhRpmtPvD+n3/x2PCM1wgCYhv3SJQT7gzc1V2jubRJWCiYqHlj6mZ4m7CXlf001iumlZxE+MX+pWuA65zMEXeDLAJDnG5FRcxfR4HdUuU8eKZ9Guxegc47gIJ0Qnh/Q87d1O0ZoSgtBsNlFKsbS0BKZge3NzFKobhFAI5SAcH08bgoqmKIpytGmU7u7RWAkB0uaHvq5kupHGjnRaS5NuFeWWqHyDJUXSTzU6TTBFj0wPKWwGEgwSa/ewfCWk5chih4Xj97OwMMWlGxfROqW5u0NvZx2TDMmkQWcZVpfynBiLNTlSCFzHK7m3RlavhiRY8ixBuqWamHAlCoVS5aXk4qKUj+s4JHFGxZcMBzmDlgEjqFbqpEONcgyeI0iTgiB0QDrE8QB0yTrteS4zUzXGogDXHj4ih64XY3j44Yf52Mee4Vsv/jnt3Tau6/KLv/hLnDt79q60fv89wN/75LPvev3o7Ay/+Zv/C2trG3zuc7/PIB7wH/7iZwi9kvFEIPbTv8MLxNqNbbyKw7CXkwwNwcQYqZQM6KOVRbqWwHWoVKtUQpep6Qa1xXGyfEhaJFSqDXbjHrfPr7O9UQKOTSdhJhzD9zxSnRLUaoTVGtvthJX1DQpgYnIMa+Ha1av729Jp5aQJNMY98iJnbb1HPkg4cWy6lDBVPsLJGWZbLJ2aploPS+kKmzIxEZGkKUk8pBbVmJgeo9dLuHD+GsNBjOdVwc3xwpR4mJFkTY6fPMXaapMszegfyqZazR5ZqnFdRRC4RFFZz3NGi5kVpdqMUA6N8ahk+A6r1OoTmDwnyzVWOLh+gB86uMolTVKk62B0gbYWayxCC/LcUuQlCmQ4zBgOE7a375Z1+H7sA+UItxlSCI3davPW6hoXhj2EMIw1NENvyOL8BEtHZ7hx+RpZrtEojPXJE4EjPfwgItEZSnqkRUac5tisQNiMqXpA4AiyQcmSWxGG6niN9k6bbr/A2iquGwAlDu+wGxRCoJAjAXrD9sYWnnJYXDpBjmR7c6Nc+TBIA+6IidmxAteRWG3RhrK7Zfc+0x7SACqjEmktclTD2rO3l1+l1x/QqI0xMzOHlC5RVCUhoR+3EE5BnHSJ4z5JksPIEU7WZ5ifWsL3FXk6YGKsysNnzxBUHG7duM7Lr36bfq/J2QcfolqJ8F2XMAgYq9dp1Kol7McP0IcaPhVP4VdDTKYQ5LjKwZM+aHCkREqBqfg4joNyJFlaMKxVyTNDZyxjZ7uHEglTYyHW5sTxEKnLkSlXQn0sGHXbNUfmGiwuNMBmFDk473Bqe4zjjuPwT//pf8HHP/4JLl68wOTkJJ/+9GdKUPfoYFvsSGekFAUqrCmB7uytd5Yf/4mfYnlllc//we8TpwX/zW/8D3z848+W3W9rywVBijKVPrQtV68ss3hsjuMn7qGRDmkXKbe2Nkky8Ct1mrtbhMKgbYIaDOjmKcFElSDwabditna2uXNnk+3NFs3d8trUicY1Dq4jEcIwf2SGWi1EOZLeoE+cx8zN9rjv9BKz0+NAyWytM8PC/CyOUzDMcuqVSSr1BmEgUEoy7Oe02rtMTNWpRhVu31qhXq1w7MQitZpic3MLa0uyV+V4WOtx5coKUsLkTB0tLbVaQBD6hGHIPfecxA88VlY2MOKgXPD2W5c4dc9JGo1aiXYwJclJ3SsbKkopjC7IkhRpLY7n4ngeWIHygtF8uiwlDWw5eYXjkGtDWmiyNEWUjJcYIxkMYnZ327SaXW7dusNLL3/rfXid0j5QjjCrCaDBVivjxlafjjC4TgnNaBYDBsMc34GckKAeUA0FqYzpDTIUBpMbhrmhkJo0H0Ieo9OUwjUopRBZStUpL+K6NNSEQdaq9GJItQvOgQPaqw+WD5ByhJqwFikFayurWNdjYek4wySm1+2URKS23N6ydWDL1U6I8uSbu+uOVkj2nKAY1aoEAnEoCktrA25sLNNcvsq9+RkWZucITA8hNDe2rjPo9wg8FyUsvucwMV7WCI8eW2B+7CgIt5SXNH3mxqeYfWqKs2ce4PqNKywvL/Ovv/T/Eng+lSDk3nvu4dPPfgqvEqGkwgrJYHgQJVeUwot8vEYDx2gcoZioTeIpB6NThLAjJ27JilJXI891ydxshuzu9Om0MvJM0G4P6NiceqVGre7juA5+4OB5DkrAzHiNRlWiHIHr+Xj+uy/VPYc0N3+En/7pI/zUT/9Uee60uctZCcqOOAisoJwS2Yuc9863NPzqP/lPefTxx4mikAcfegSBLKVjR6fjsGjTnjlBjTiDO3c2sa5EVVycXKC0gyuqSDFge2eXvF4wMzVGp5dy/sIygefRbvZYvrVGnkMyLMgLObr2BFiNiFMqoSJOU7IkLmVK56aYnm/g+oALR08tAd8FSmF4W2TEPUO7H1N1Ik4uLNAe7rK1tYnve0il8UOPwaBk2xmvG6SCleUu2iiEkAwGKfHQYrXGWB/l5uQ2ZnpyFqkMw8GQLIVXX30D5TkMhjlKHQwB/NZv/TZPPfURnvvUZzi6NI+wCmML5Egmo1arI4UD0iLsHseTQQlwZEkPlmQJzqh8URgBwqEoLFmSk6YagyBO+uRpxtb6FjduXuell17irTfPs7p2593O5a8wYe27T+7ftu0Rs35oH9qH9qH9kO1Va+0Tf9UfvX+5pw/tQ/vQPrT/n9kHKzWOu/uYO/uO7uldNR9rwJY4t71U872eDz+01hgzIgul1NHY+12R230Q5keefBSAuSNHiKI6z/zocwzsgCu7t4CUSi5QrYLMVfQ3NrjnvgVOzM0ySA2PPf4Mv/cHX2Dl9h0Wlhp88jOPUPdzvBzmx0/y3E/+Y85fusav/OqvIqXLyRPHsCO4jLUGJRV5Ymg1W7zy+uuj7fz+waHW2rswiI5zQIKQZTm6KMjzBBAUhUEKiRAS6Uo8T+J7bjkzLJ27Usu95sC1V18pcYKj18q/Kf9OihIC5DgORjgUQtO9eZO3/vSrnL/4Fp/8B3+fhz/2DHmeIKRFSotQAivk/nTKHpWWtRIpStiLHCn1CSGYu/e+/W1688LLbO2uYUW5L0cWZhGUs92TE5O0u23iPEabHEFJUJAMc4q8TJGFMLiuYPHINHk+oN/LqNUaWJNRq9SZmZnDmBIpcHN1hf5gyPzsEeqNcbSFE3PHARgOh/uY0r8rq1TK2tt/93tv4khK/RQlcJTElRKlJFIJhBIlmF+WgwSOKuEvSgqUtKVY0t55HaEZJAeohkMF7vKsj/7Zuzd/4qGSR/M3f/d54kbBxssXWH79O5x76mO89sp3KAblZMlg0GX19g0aR47xE7/8S8jr5/nyn3yFMz/799lZvsP6a6/wsz/zE6jT5/ja7/4Onmt48h/+Mu5Wk0o94uRDT7FUX2Klv8ZEdQqT9Fm78i36vQ5XteLk4r38Jz/5qfd1DD9QjnDPgZWO8N3Z8oEjhL3a2mEH+Zd97ugdHJY/PHhv+fvDF7PnhcQ65vz113nusz+J3vBY27rMfdOzVDoV0iTjcjLg9Mklap5PJKt84rnPsry5yx/+37/LzdsbJC+8wWwl4ic+/lHyBJJOm2vnXyNLBuTG4e2330KOWIY938VVLr3WgGGvz1/HDt+QUkouX7xImsa02236IwZiIWE4jLFGMDMzR73eYH1zHT+QnDlzP0tLp77njZ0XRdkFt3vHi/3mgVIKpIM1hlwYRK/NG3/wh9z42oto1+HSq2+weN8ZfM8BURLeCglWqv3zsPed1owc9Oim3HOwh63V2+L1i99mmA0pcsPS1gLnzp0jNYI7l66wuraMF7hMTs7SbWXcuL7J7voAad1yQSxSCj3kRz/7BEcWaxhlUL7LztY6N67ucv/9DzM3N0+1ppmeUmw3t+kmPjdWbjEztbC/HW+++ebfuSPcM9dRKAmeswfPGj0ciVIjh6dGC5YSOFKOnODIEcoDDOtBzXoP5bD3097dcnAvWjuqh4/s+D1LXN6+xfzULPHMDFOzCzz5Iz/G+q03AFi5fZN8kJBkGZmxTI6PIRxFlqTUp2ZoV6qEvo8bRczMzdLaWsFxXR544BG0kASeYjySNAuH8dCjZR2k67BbFDS15gHv/Z+LH4Sq/z5KIfc9Own898AY8KvAXg/7N6y1X3ofn/uez3sX2z7mzphyQkHK/RtzLxoS+1GWvRsLJ8Qh7YuDZoiU4l0X85lHHiGONNvpOteuXePJh5/kxZu3YbBD4o4R37qDm8dst7s88NST7DYz7ty8ReCFFNrg+BU6bU21EJy8/yk+8vjTKATLt29itEZIFyssFl2u0q6D47kUVvOD3FN7EeQ3X3iBG5cv4bqKK1euoHVBYXIyk3P69H2kScH6xibPPP0JdFFw6eIN8jwlSyz33ffA9/z8PedkbUnDJYRBSpDSImU5r+wKyfpb5zGXr/BQVGO7WmFlY4PV1VVOnDiG0RppLYJRVL/flBqdA1vq6e6d173F8bBZLGnRY5B3cR2fyekKlZogThNi3cKPYHJinEE34+tffY31lRhyMRohLKdXBsM2165d5md+7hkee+IhuoMOnUGT1nCXl17/Dg+fe5jxiSqN8YBHH3+Ity/dZmV9i5npA8qpt956669/sn7IpoTBEQJHgCMsSliULPGeJfJBUEqcCUpSsYNO+sFj7xwwivxKNZLDLvCd7tBiS0KSkVmVQaE5MjvBHUdw7Pj9OKdDvtm+BcC90Vl85XDp8lv0O11mKzXq9TouEExMElWr6CJHGU0Q+litSdMUP6hSn5pAS4vFoK3GkaVsg5d02dCCrhE0ggNs5fdrPwhD9WXgEQAhhKLEnXwB+GXgX1hr/7f3+5lSyndd9AfRx8FqtXfQxWjIn33q+PJmyvISB3ewuo0c46HPlpTfVY5Y8a6o8hOf/hSX165SrO6ycfMC4sRDPLr0AKsvf5tkzsPbvcN4vca1rSa185eRuUT3LUcW7mFmcYlL1y5SwyLqDf7kT76I1fDsJ/4ei8dPwigKkvvRlMRxHawrcKMAqzUME75fO5w+f/GLXwRgbXWFx88+hOsobt+8jnVBW2ht7XDs2CJR1OCVl19nYmKcWjVia3OFE0vHefXll5manGFiauI9I52DlJiyqyrsKMUWoMv96W2v89ZX/y002/SFwDoBRsClWzc5fuwo0hpKCXhZXoCHHOHevojRuX/nOd+z8cYEj557nNQMcFyXUyeOY42lEgacPn2SrY0eL3z1Nc6/tUKv4yKSgnTYoq/B8yN8R6DckNW1TX7/X32T77xwg/qUz/yxiOPHJxmvhPzx819iYEsBdKwlKwTT40cRh+BN7wSd/12apySOkniuxJFl2isUWEcgpcVF4AFWCsQI7qQE5UOyHxHuBQZYUGKkm/0uE/tP1oI8lGkNsphQuSxM13AcxUS9SrXeYGG2VPbNjcVkMc3mLo50qE5Ncu7sIwx9Dz+q8cijH6FWCUlMwcTkNGmnQxBUCKsNCmuQQpEUloJSfzwtClydMcxSMnxm6+H7PnY/rNT408B1a+3tHyRF2A/B3+MzLGBHtUPEKM01gBBoYUhNRq/bw2hDc3cXhGBxcRFHKRhBUgS2pN8HwOAI0MIiJSVc4dD3vfraS1y9fZHK5ICPPPYQczMR20mN+YkZbug2kzWHqFLlRkvz/Jdf4OjkBP79hh//2Z8jlb/E//w//Y+kvZhq1MB3XZLeDtIa5hePI5WDLmwpFi4VwnFASfJMl84A+87d/55mrSXPc6SUvPbaa7z00ksA/NiPfoalY8f4zkvfZmyyzkeefJzl1dvc+fJtrt+4wsL8cer1GpUwpFAOaZISBj5RpcKrr7zCs8998i7yh73vMnctJqN0aY91xoLjKpLdbdhuUndCrCsQBQSywnJzSHeQMFVzMWg0FmtGC9nhqHAUqxxO89+JqD529BiTMz5x0UXbkjVHeJo8t7zxyjW+8+I1Lr5ygaob0u1odpsd0rSPsZYxzzLdqONVJvDcCq3djEFvFSMME3MhTzx+jM98ep5qY4yXX7lANZQomRGnklplksMh+zszl79Lc5UY1f0Aa3CUQkiBUZSBgTak/QGqVsV3nfJ+EKKM6Ped4d7ulXK2QuyB2d97/8rgUdyVGnfjhAo+GIXvSFw0Vd9lcqyE2KRxSj43w8njJ5mbmsGJKpw8eZxN6xL7Lvfe/wAV3WHdamZmZxFJRrVaY2Ksym6vRRiG+J7GEWUUXFiLUD5p1mGgNRUZv+e2/mX2w3KE/xD43KGf/zMhxD8CXgH+S2tt673fdre9lyPcS8OMNWhjMNbQajbZ3t5iYnyaJImJ0yF5kbJ2Z5lOs70/5/vEEx/hxD2ncZRDVI0OsICMaiCyTBMMZhQtHmzLi9/+Ov6Yw8Q9YzhVuHzjPDevLDPW77I0F+JNjzHVzzjq1dmYnOWIytm+9F2e/8a/4dxjT/KJT3yUb3/rW6zcuc1E1WWtuc3VmzfY3NoGW46QCVHW1YwQJEWBMooizTBG837McRyazSaf//zn+eQnPwnA8RMnSHTKjTs3mZ4e443zr9PttzEm48qVi/S6QyYn5nnppZeYn50lTVK++cKfc2zpFKtr61y+fJmpqSnm5g40YveaS/vnZ5RCHY4chZUM13ZQ/ZSqVaCBTNF1xtlKPZa32ozXZ5BFQoAkx8PYg6i2dIYHEe7eZ7+TWMl1HWyi0SYjL5KRFk3O1lqTV772Jhdeucmp6RpjKmH75g2620MybaiqlBNzIffONeg4Lm8lBTEpRZrTCGokmzlf/Pw3aW61mD0xR+j6LM35FHrA9Ts9Ot3OXaL3Sr1/yqe/KVMCBGaUIWlw/P26HgKUsGxurFO1s1SqFQSlAyydoCid4uhhBWDL+6WsE773dwohuLtCCMMspS7H6CYFCFVugQU1AmQqKbG5Jgpc6mGIDSoEYYWacUmkxA0D3HyIQJAVGiEtxhSIbAdJSq1SpREKKkPJeGTxegW79XFiu10SLui/gxE7IYQH/DTw345e+j+Bf17uOv8c+N+BX3mP9/0a8Gt3vSblXanX4bS4yAs21lfY2dnl8uVrXLxwkRMnT7O5uc7W5grVyCfv92nvNjFaMxgM2Fq5w+KJU9TqdR599BEWF4/iunthszzEICPfleLMTtTxay7xlqFZGbC7fp5OnLJuujzcqnGqNoPMbvPxWp9s7jRy9RYvrzb50+e/xNrWCpPTPsdOzLK12uL118+zvb3L5cvLFHmBdMv6oEBR6ALXcchzTZqkaF28K03/K44/AL/zO7/DqVOnuPfeUu1NSsn65jbtXoexqYjnv/Y8WTYkzzJazWvUa8s896kfo9cdYvICKUQpPtWYIk0Trl+/TpIkzMzM7H/X4e3aT2Xt3dtSpNBd38KmBYWCXBqs0BSZxsYFGxtbnDo+iTLltIgV7256lVGhHXX6R82zd9yIxuhy2EMahGMQErJEc/P8NdTuNpUi5+btZZyiQ6vfp0gTrNFkrqCdh1y6s05Ltyn8acIgIu13mQsTTh6d481rbV782uvMrywws1BlbWWXTAkKESKVhykO5AuUUh+YZokQGk9ZXMqFxXcU+C7KEWBzbJZx8+plxgddFuanEU6ZBped4bJ5Vc6Qg7T7TeERGxEcNEsOGoxltnX3dug0I6pFyLyHVKqUa7YWzy2ZcrQukFjCSognJW61TiYdikEMbo0wCgkHLkoq0jQhiQek8ZBOcwfjB9isYKB7YAt0FqMtxI1pcucmnc4Gq5vfV9x1l/0wIsIfB75rrd0E2HsGEEL8S+CL7/Uma+1vA789+rt33fmHnWCv1+OVV17iWy9+g7XVTdbXttnd7fDKq2/Tbu8QeZbxeoCLxJEOeZaTFzm3b9zg1vIdqtUa7d0tnnnmWY4ePw2A5/n7zu9dTRVgbryOUJbN7QFXepuMzUQEUxI9XWczqTFlYLZaZamzTdwZ8nosuWk8WteXWV/dpFGLcF2XsCpwrGVtY5Wdzg5KBWgpMKPVWxuLg6BIC4o8f19O0BqLkIKvPP88Wxsb/IOf/3nU6Kp87buvcunKeZq7uziuJc8Kup0Sid9t95idOkY86HP2oUe599Rp8jzm9u1bdNptoqjC/NwcE+MTZIfkIvfgEwKBsaOUBIGyoDEgBYPdJts3b1HkKX0JhQCrU4r2FpnfYHW7yXCYEvoOejTdYUyBLgz7U9Yj+EyJ4lDllPU7YETrW9tYLyW1OcN0iMkNF79znu1LK0xITZ50WOkW6Nyw3S2I8wKbp8S5wxvLPaYmfYJaANqSZxmhSbhvcYqxOiwtzpMsB/SbGVGUo3HIXInjB/iBi1IHd/4HyRE6SmCyPrdu32TQ6lKfnCKammJseoJqNaQWeiwdmcWLQtSoFFS2TcoUuWTiKR+SPVTAocR4P7gsZ0FGldzR4+D+EVYyU4+QWUrVl3hK48qUaji63wqL51qCiktFaoQfEI03SJOEnVxDnpMP+thGFdctmc9d1yWKKqwOYvIsKTW0tWEQJ2RZjuO6OJ5DnAzpFe/frf0wHOEvcCgtFkLMW2vXRz/+LPD2e77r+zAhJHE85Ovf+Aa/97nf4ca188RDzaBfYLRChG0cqXFrDpnMEX4VvICylSSxNmfQ7SGBO7du8WpQwfVL2qKl4yfKk8+BIzzshD7+xBNcvXyZrTu7JYmDBZtJZs/cS7Gd0nOq1LIprr/2LdLNbS6ZKgMUw35OKjPibkxUD8iKPmSCSqWOG0Cr3SmdoKvwPReVa/K0xPjt4fK+V7q1V8Aufyif1lZW+cPf/z2Wlo7y2isv8fbb5eG+dvUqSTqgKHIuvmlZ39ik1+tS5BrHkdzzmVNsrK4xMzmDI0rmjqee+hhnHniQSlRFSImwliI7IIbY68obUTqmTAiEhaAwpLLAKkHS3kXubDPmuUgDNRSOsXhpl9u1BdaTPsPegFBGZIBQAqMLilEkLIVECVXWrZQadTwN8h1r5SBOsDYhFxmZ1WysbfLmq1fJlvvIQZN+bxtHTVCtLxBrl0ZDMxz06XQ6OK5PY2YRx4uI4z7ZoIuTbiPySVY3M1a2MobDmCy2JDpm6tgY4XiFWi3AdTyMfXez5PC1873q3H/T5jiSC29e4HP/128x3N1FCoUfRUwtzHPy3nt5/MzDNIKIwFX4CowsO/9q5NCElWWqzF79d3SZicOO8CASPLC797WiXCqOJC+gWvGYmwiYnAhZDUt3kyYlkYJSLjIdkqUJkQNR0saPPPpbm0RZDzUxTxgGRFGIkpLBYIhFsL2zxbDbZmLxREm/ZTWu0USVkMBYpAp4v/YDOUIhRAX4DPBPDr38vwohHqE8Yrfe8bsP7UP70D60D5z9QI7QWjsEJt/x2i/+tT/w0KQCAtY3Vvnql/+MP3/h6/SaW+RJzrDXIx4WpNpB5CnzM1Ml+FIWGCHJbEDgBiAHDDrrSAX9/oDdnV3u3LnJ6eaDACwdP4ZUDiBKXZN3pMaf/PjH+Mwzn+RLX/5T/DnL9RuXuHCpSbe4xon5SbZzS67GeXnbsLFlqUyk3Hvf/Vy5sUaSdPF8B0c5+N4Y2+0muztbTGQ+QkVoBFEYUKn4FKmmXwww0pQsJyOKofc41vvLsxCUTLxxQrPZ4tlPfBJHlRHtk088CcAzH3+aLE/o9Xr0+wM2NjZYX18nyzLuuecenn32E/z2b/9LXn7pZWrPjXPq1Gnm5uZKclWliOOYer1+13HJdCk/IKUoqcUESCvJtSEzOSYvaK2sQy/Bt6UyoCcUShhcrQmcnJVmn5WtTWrRSXJbIBQIU06TYEsiivdED7wjwPJch1xI8sKw225z49YKl27sEq/ETAUFlWqFeJAReh5HjxylFvkUhWV1+Tq7Wyuk/S6iEZEnKemwh2sNN3cTYuvT6qcMkhQcgU0k2TDGr/s4ro9yKiAOxIH2gN6Hj9NhONPf5iy/IyzVSoCymrS3C0VBZ8eytXqTS6+9yncaX+bsmbOcuO9eUJrxmWk838N3XKq1eilgv6dFOIrAlTjcsT8EpP8eXWSAquMQ+gpfKHzfJwo9alF4wKokwfUcXM+HIiOPe7T7Q3S3hVcZI5M+YVGUcheyfMMgSWi2QE5P8drL3+bylUv8B//41+gUBdaCKgqiao0xJQn/GpCmD9RkSTnWU6YWrXabL3zhX/Otr3+FpLuLSRKyQQ8TdwldjwzNMB6QDH1UIywpoJSlM4ixgcf4eEAvzikSSzzM6XsxvUGXbq8UQDc2x5Uue+2xd9Z53n7rLzh1z1n+o3/0q6xvv0G2u8G5n3mMP3/jAjbTeGOG9p0V5sbHybMcUYUogLzfY2xyHOlaWu0WR4/M8tQTiyyvb+LXPFLt0Yw30aagyAVIiXIU1npYJfCzgvxQMf7g0JT5iSkMwySh1WyR5zm1Wp1nn/1UKQ96aB+yLCs7baJMaYfDIWma4Y8gMnEc8/THP8Hx4yd54P6H0FrTanYYGy958BqNBuFIG2LPMlPCe9BgjcFYgdRgbJkaiyRh8/ptRJZTjOqXZgS/yIuUbLCJMRHNwYB+YjEyRbqgjIMdcZIJQSmPPGqeKFXiPd+5OAwHfW5sXKZX7LLbbbG82mW7n9IfpljrUnFrLE76HJ1v0IlzOjk0fI+jp+bpNBLa+YDuoAUYXFcRDzS32gWFE5BpgRdWiJM+nlFkcUY6jMnzFCNyhHPg6JRSDIdD2u02Wpf8k+Pj4zQajR/KLfG+zBQsLR3lzJkH+NbtawjKJpJFY/KEXmub777yD4HxPAAAIABJREFUbS5fOc8bb77C3NFFKlGFybFxnnzqY5w6fS+1Wg0hJWY04vrOkgSwnx1/z/TfOhRCErgSKzSDPKOWJvsym2me43iKJE3YXlvDnRgn1prBMGW6ErIwN4vfEXgTDXTgEaUxYT3Cl5IMw9LiEdr9LsNhn4G25MpD5AWe53Hy+HEa1dr7PnQfLEc4MmMMb7/1JhfefhNhddlUSAfU3YLGmIsXRmz3c27vJGgTg8gZpD18TzEzPYmvHKQYYHXBoF9SCoVhSJrmDEZUQFrrEUyg7JhJefcJ395pcuX6H1HwAmcfuY8HzzzKvQ/ew9zxk2ztdFi+8B2CyQrj02fYWBvj9tY6utcioGBrbYWT952mslAhrAmOzEacvfdxHn364/wf/+oLuDu7GCFwlEdUi4iH22T9FCFFCaxO76Ya33NwWmu2t3Zot9tIKUmzFFMYdJqPxsaKu6Ane0WePM9IkoRKFOGogDwDrMO5s48RRTWGw7Ts1qOoVhpUaxWCios2+q6LvR/H5eTBHvDdChxdApASWaBbbVrLa0R5ymDEXSZUGellaUo+2KEIx+kMEgZxhnIKhC4QxtvfbiEE2oHCKTVeHMfBdQ32HW1jYwrurN7hyvJVWt2YbOhTqUYM3JiN9pC6K3nwsROcmpvgyp11VHWc+fEJJo1HNp6x3snYSFyMW6E7kKyuDshzwyBLSOOYsXoVXWjiOEENHWoEuK4mL4YYDuqmSinW1tb47ne/i5SS4XDI8RPH+ehTHyWslDIIh8YD2JvN3SPn/aEGjKagWmtw7MQpXnRciiwrr29rkWii0AU0vfYOnV6TK1cvEFYq1KKI65cv88yzn+KzP/5ZKrUq2pQLHGbUwDoUoSdxiuO4KMc5BJs5+J+OM25vrZN0b7PZ7vLGG6+xE/ms724BcGl9h6DXZef2HYp6yFMfOUd4apGWMqTCpd/r0Ukl6XqTLNNop0q+2WRdSuQwZ7Y2zr1nHsJFMLCaYa+PJwyO53LqgTM4wd9yjfBvwoSUFFnG8u1bpPEAVwmMIykckKGAwhKEAumF9PMUTEan28HYAZN+yHRF4QjD7laTTrNPf1CgRIiUDmmS0+uWDNVGm7IhYN4bFHvtxjqLi1OsbG1xba3GR8+eYtBOOXP6HAuNTeT110mURRcZ/aRH4Lt0+wmPPHiSaHKaJ59+liMLC7TWrmOTDv10wO3VO7TjNmHDRw8MyTDFj3wq9ZDebhulwYQeWr17pc3znNXVVfrdwX7kURQjSn0t7sLh7e2LLkpd4iwrAamB7+OOqN2NgTCsIkRJcFkJI2amZ4miCD9wWVm7xQvffIGf/4Vf2N+G4bAY3bil9ICwoOxoxMrRZBtbON02geOgKIf/pRhJkTpwRLnciiZp9TfJ0g6ycEFlWJuPHKxACkmel9MMUpSjh57v4+u7j0kQ+FQbdcRyRJqARuGHAVhDkhcoY8iAtXaPje0drJ8iki7OmEfgTzA9LWgID+m6XLo5YE0pkjSnP+iX/IM6wvE8CpWV6miyIM/aeLLc5z1zHIfp6WmstfR6Pay1XLl6janpWc6dO4ejnFFZw1CCKinFo8woCxlhWd97vv79pXhKCIR0UH6IH9XJ0hRjRx1gyvnukrCkQBqJNILQVShr2Fxb4d9++c+Ym5ni3CMPE1TCknVcHp4lLs9BPBxijGVyahJh9/g0D7b96vVX2dpS7LR2SHa3+fMXvkl30GVyupQrHRSGqaLDAydnOPvwIzxwdI6Vdp+3uwNa7XW09Lh2dQM3CGj2ejR3utRqIZ7j4IUhc9OTyKDCzNg2Y3OzNK+9hTU5S0//CBVyvvalP35fxw0+cI6wHP0pa1rr5FmCzmJskRF4Ln6tgkksbuAw5tZYwGdtvc3OTpexiYg8F7R3m3hSkfRT0oEhTXICv0Kn3acS+UTVsmvsee4IQwjWirvwiwCVqMb5y9dJteHa+jI333ydpx5/lNPnAlYvv4Rt72BlwHYvxTqK8do00Zhmp9nm1MIs82M1dteWWb6zgvbh+mCbtctvYQNFWHOI44R+a4hbc6g0IlzPhUGGyQqkc3fX2BjDxsYGrVYLTEkZvy+8bkGb0iEKxL4uhC4MeiQqX6/X8Dx/v+ygtabX7VKJKnieQ6USEFVDKlGIVCXO69LFi3zuc5/j3/u5f39/O9L0AONojMXacmbYWlCepb2xiYxTQumAsThi7/KyOLqgOsxwG5JkkFAU8Qi6cTAaiWZ/5FGOIhA9kkg4rIkBMDExxeL8EtdurrIthkjXgVoAgcIYy7CwfOftK0yGiuNH5pCATjvcXClIUs30xCQTYy6b7R7XV9Zp94ZEzjjWaFwhybOEoOLj1quIQFOgqVV8jkw1aFTunrg5evQoZ8+e5cUXXySqVml1urx1/jyVahWlVLntpuDI3DRTU1PkeT7C8B3UQw+TWRzYwZTv92OOkKAtZ86c5ennnuPPvvgFdJKMprIscZaWU1lal2SpOfS6PfLAx2jIkxW+8Pnf5/Lbb/LQ2Yc4deoevEqEH1UQrkNhoN3scevGCkWe4fseUWUEQzsUsS+4HeKdbZzegLnI4fztG7z19mV+/OlSanZisoYxCUunH+Cxxx7i0vI63zh/EXyHE2dOsb3ZoZcsEynD1NE6q1tbpN0Um2sGccHy5ia+E3L02AzhTguWb/OjP3Ivj8yN0dzY5eWr73/++wPmCAELzd1tmjtbSGspdCk25DsK14/IHZCOh+MoAj9AF5DmBZVCkWfQanXR2tJt9dhpxeRG4zoZWWLw1DyTjbK343n+fk1yjwbrsCPs9TrsdlJu3LhDvVolGBc4H3VotTbZWr/GQiDZXG2hjWG84pGTo4VFKXj79Ve5fvUKu60mushoFxntqoOuVoiiOmHVJVnvInQJKvUrPkZYiixDpmCCu09LlmX0ej0818Noi+eVsoVZlpWQFmv2dV73dDWKoiBJU6SQOI7CcUrWkTzPS9RXOYeFciSOWzJBW1uy/xY658rVqxhjSJODeuXhyZI9jRVrS3mBIknp7bYIcoO2pSZFYS25NWgMJktIel2K8QGFSLCiwApdTjQg98HTWmskYl/Nb4+W7Z31qCiKmJ+bYWoyYne7wPcs8w8dp+ZbvvH//AVZCldvN1lzJf0kZ6xawRGW3ML6douLKxu4jqLb7RDnOVp6GGtQjkQbTX/QwxMebr3OxFSDTz73EOO1gGrFw/MOFirHcdBa8+CDD3Lnzh1WVleJooiiKHjttdew1uA4LkYXXLqgeOqpJ2m1WqytrXPmwTNMjE/gOArfD/aZsA/29P0W/csM58Txkzz32c/y3Ve/zeq1K+B4JV2ZGQ0QKKdUncg1QmksBUnSIfQDrl27RrfdYmdjnfPffY16WGfhxDGOnDiOcAKuXLjBdrOD8iDw4f9r702DLEuu+75fZt7t7a/2vbq6unt6mZ4ds2EGg5UECILEUAtDctgWFGQoHBIg+oNt0sEIWA7rg+2QHLYsh8NWCKIlWQAIwgBBhkEQAIEBBoPp2boxW0/vS3V37cvb75aZ/nBvVVf1TA8GY5LdA9Q/4sV7775X9U7ezDyZeZb/OXhwlnKpgt7mIPqbH/0Y3/nB07x+6jiPPPlprsXHSJ5/ic2DztpGCwysNi0vvnGJP33+RZI0ZHJ8jPMXF7g6t07YaXPp7AVGD+xDWAerNY5UFAKHNLY4pLQ2OiytNJko1Tmy/yB9noMOfPqH3/M2QkmaJCzMzxG2mhBrPDfAlKoY3cuk9Qt5znFMahKstCTa0o0TymlKJ9KstBPW1puYnqbsORSLhqF6ibH6EDKU+S+5WCmReQeaGybbw/fch5UnuTq3Sr1QA6NZXVmk1e5QljGDAxVePblIseDiGXCEohQovIES89c2OP3KKwzWq/hJwmy9gg2KvLGwQrvPoAb6CJMVXF9Rq1fQgOcHxG4PE1vSXrrjriRJgu/7nDlzhjTOFIbv+xSLRQLfo1ApYI1leXmJRqMBgFIOpVKVSqVCkkSUKkWSOMbYlCtXrjAxMcHKygpLKwt0Ox2KxQJ79uyh1Wpx7tx5FhcWeOSRR3Z4QDOlS1Yoypi8hofAQRL2Ylor63hhTM/x8KtlhO9mWQmupCASgr4qsuKjjQarUZjcNpntjLZ+Kw/UFvmO6cbdOoC2mm63yeBAgNw/wPrSFUYGU/SdA1x8bZBLry2gjaITG14+ewXXUVlGbBqjTUwkwEqXgJz0wgedJjiuIo4Tol4PryAJFDz84BFm9gzz/DM/pnikj9Jd10toZiUYDNVqlfvvv59r8/NbZB5hGKKUwnV9jLFcvHwZK7L6HefOnmOj2eTOI0cYHR3FC4ItTkwpJa7rst1Psd3kcTNok8UFRolldHyKvbN3cPX0KaRQWRqczuoOOH6AyHkglVBZSU6hSBEk1hLplKXVVdI4pqEXuXbpAs7zRbygRBIJgmoNp+iyuqSIZqbwfb2jts1wX41H3vcAr8x3ON2BtFTnnkc+iDe4D4Bmp0sYxjx1Yo6nXl3E+gFxF1YWF7HCxViPYqnGwNh+lO1nbMQFYZBSIJSb5aKbGKEcygWfGMEPX7rIkWqVEeVSKo3d9B7dDLeZIhQYbVhZXqbTbiOFxFiB7xdwlE8cNkjTzVq+BQI/ol4r43pZ2EmrFRImkk4vJQk1BSUZGyyzd2qAIwcPsmf8MCsrGTvY0sIik/tmMDrJbFPsnGxPPPYYrThiZXGFmckB+moF+itV4l6H/aMDVAMfoVyMkDRbEUXfp69cxHcMLdeh5gfoTheExUQdlhevUZcerusR16cAH7+kqfRVaKy3kVYRBB4ULBuLGzvuijEGnaR8+1t/ThRGGfmpMXiuh5SCmT1TTE9PUSlXmJnZC5Az8Chm9+1j7vIcRmvSNOFLf/hlvvKHf8hn/9FnKZdKhL0e1XoFR8Hx4y9w8eJFrly5xtDIKPfdf/+WKQGy4Oet0BYjsCLFQaCsi+OUwHXpeYb+u/YxfudRRKGKcSQGTWpjJCX8cxHJRoQra/hegFE6q91iLW7+v6W1OVeeRCqF6zhbVfK27omAoFxl9sA+hocqnDjWJO52mdk3zt0PHWT18gYbK2G2vXIsKRolFFooUhQyd5C5bgFjQKeWOOrhpApPZHV7bRLRaq6xuj5HpGtM7ZulPlzHiuuLw2Z6phCCAwcOcPToUV546XiW6eA4OI6TE4UIBgaH6IUxjUaLUqXK0vIKvZeOc+DAAfzLc1tZPKVSiYN33EGtWt2ixdqRz725I9c35KQLjVQOUliK5QqzM/t43isT+F6+uGQB6zaN2Lt3hpHBQc6cPp2V6hECx1UUPZe6khRNQtkVdEiQyuLSJUw0Fof1+VV0mpLG06T33oOxcqteOAA6oRS4PHRwL6aguBqDGJhgtZ0t8J1OjOt6VAbqaBTNRoN2TxMUK5RKWW1rx/ep2swhp01MnC8qmfPNAAqER6/XJcRy4mpErWcZLAiC0q1jn/lLQmYwr1QrFIsFmr1eXkYzxXNdlPDAxtkOwjp40lKvFnHdlERL0hhct4DqdSkoxV37p3nfPXsZnxzg8OGj7N93lPNzKwC8/uprjIyO4vhZTJi4IXymPljmNz71UR6+7z7QhrHxMS6eO8uzP/gGE0fvYHU5wUhJR8PycgOZpPQ6g0CCjCx9gQcGwiRiY2MDJRwmhwZZ3Fhn7uQZPCRuxaXaV6PdisDC+OgA9z9+iI3VmK/+u28BXK8znCSEnQ6rqys88MADnDl9msVGg3a7w8zUXqx2GBwY29o5lEs+hWJAs9UmiuLMu7kwz7//0n9gaWmZb33rm3zy45+gWCzgSMHVK5fRxjAyNIg2hthAsVKmULw+qDLuQUkcR9nvODbbSeMSRjHLzQbOxgYysrSNQ8dxCK3G0wZfWdwCOG7ISnudE5fmCAKBCBNSneUOZ45mgRRZupjjOEilSJMks49uQ9pNUalLo5Hw6slztDaaVPwKF+av8pNnTkIMhYJHNw4xOovNNCbJ2LEBz/GQ0gEBjufgewEIS6pjHCExiSWONUZYjh87R6FW5KFH76JcLpLEO8NnNuG6Lg8/9BDnL15io9HA9/0tx5aSCsd1iJOIOI4oFIp4CFbX1jGnz+yIQ3Qch14Y8dijjxB4XjYHcpahTQeZ53kUi8UdyjDtrpNaTaoUcTerwzwxNITvulvRF44UeK6lz7MM+1DfN4EjwFc+EhflOniBT7FcpFKvcGZ5GdeRSBNnu3gVUCo5JDFErTZrK+sIr0Skt9V6lpIkTVlZXubq8mnOvnaGR97/BK1uZmbptJo8eGCK8ug03/6L73Ds6e+h04TRvXcyNrMfdESapCRxlI0LYzBpVl1PG4NODYVSkbTX4cKpl7Ma4kfvohlGNJMQ37ke5/lOcZspwmxgTUxMUCyWaK6uw5atKEUqQ6HoEoUhYawR1qUUuHi+S7cnaZsEoyzFgqSoXCYn+jl67xEO3XmU0YkpiuU69+YU68d++GPeeOVVjj78Pqx5sx1qfXmNtaWrpLHlwtwFXnrhh5hui34/pFKpcO78EghBahUbzR5OmqKjRVwSPOlSlIooTVAYBgYGEdLBU1A2Ef0iZuLOe2lEK8RRlJfOVISmh1cT3H/PA1uKMIoiVpaXCfyA6alpFhfmef6551hfXyeKIsbGxnns8cdotdq4nrflRJFKsrg4nxXSrpQJo5AXXniBleVlBLCwuIhO061c2YGBAay1NBoNzpw5Q9/w6JbdcROPPfwgNg/H0VqTOhYrwI0lYbeHWl/g+MIq/pVVxibXUH0BzbCD044JhKbVaFLuCgq1IvccPUi5UiRpRSBdkiQhijIF20sielGYHYVERt5a7B/cMU70RkzvSpMff+dHfPGPv8iB6XFetfOcObdCezVlpD5MUIRkQ2N1jEjT7PgmDdLJPNJYhU0TlJQZpZOSpKlGAtVKBcdTyEDgap/zp68RlAMOzrj0uY0tObZzXlprGR0b47777uMbf/InNBoNPM9jYKAf1/e4MncV13MZGRlBKUWcaOp9/SjHxdqsdAJAmhpee/0kAku9WqXX7RFGYfYc9tBa09/fz/3338/IyMiWLJdPHSeJe7jKobHRZmXuEn3FIp6jUGQlUyvlAmHUZWNpgaGCx2i9hi8FFbeARCH8gAiBdT1GB0dwhUu33cQBtM4IUY0DoS/BUSzOL9GIzQ5FmFGACQySlbX1LO+83WZhOYvhLRcCpqZGef3cGZ5/+tsoJGmiWbp8kmLRR0qFSZIs2sDmMaR5aQ2dx7LGnRQdtpieGGV9o0V3fY2NhSVebTdodXaGn70T3GaK0OYMNNnq6fseJkxItUU4lqDoYNo9hIyxBqy2BJ6PMoJeW+MogfCyiSMVlMsOU/tm2XvoKCgPLSTVQhboes+993Ds2WOM79/LwOAgaRhteVwBri2s8vTTP+CNV9+g0w1BxxyZqPDLj96JsUVWNjYoBj5pT2PiCI1mo9mjGrhUSh7SpriBi2M9NJJuq4FfK9FfKxIlksOHD3DhqsuV83M4QYH+wTJhM2JtucXK8oktOTqdzhY11ZNPPsnU1ASnT58mDEO01jz44EPUalU8zyVNY3QetLq+3sEYzeTkJMYYVlZWeO211ygUClTKZZI4pn9ggEqljLGaXq9HkiQUCkV+8MOn+fiv/uqbemdksH9bTRlLKmxW8yI29IRh+D/6TWpekQt/+mec/vb/S/lphbQWnQqMiYkKBdzhe7jj0DAff/hhyv1VEmMQro8kt4OJzMmi87xjIa+zA/3OP/6HW7KoWGAWOgx2fA5WZrlwdh3Tjen0LK70cd2A2KRYbVBxxIfuvZdD09NcuHyaRtgkKNfpRYKVdpdmu4O14DseIggolUrUS2VmZycZ2zPMleY8Jxcv8OyPT5J0iowUZ6/Lke8Ity8Yd997NydePsGlS5cyVvAkJklT1tbXmRifoNcL6XQ6uf2wRpKk+f/YVCbZGH7j1JmMFDWPXDE6r72jE65du8Zrr73Gww8/fH32dNcoeRJ0jBO3UUmP0f4+yoGHKwyBKwkCn1cuXGRhtcnBfQHV2gBJp43yPISUUCiSWoUOygQjU0wEBeZONwgch1RrEjSxSVBWZXZMJGGU0NPX7dpCZDybaapJ4hQEnDx1ismpPdncu+tO1mLLj555Gld5jE9OkKaaq1cu015boVCuYdMkc86R1bOxJns2RmMF6ChlZGiAfQdmOf7iC/QVHKKFedZ1SrpdKb9D3HaKEDQDQ2NM7plhfXUJ081upoPA9RUFR+EGCp3GCN0BFL5TJfFDbJKgrMVxoH9klPc9+igzs3egZBYrZ1GkOdff8J4JJpf3cOq113j/Ex/Aqi1GSgDWY7iwskHkFzExDNcL7J0oEziwvNRkbXWVUuCztLSEwlCrlOi1uwghSXVCoBTaaOIYOlGDvloRtMFTkkKSMNPfT9H1WFtfpx2H+L6gWiry0QceZ35lg6/kcqRpShAEGVOwkHz0ox/l4x//OEoptNbEcUyvF+G62c7O87LQjnK5iNEpURQyN3eZc+fOcfbMaX7pox/lziNH+MbX/xi/UCBMYhqNDaq1Kh/7yIcJCgU+/9/9U86cOUsYhjuObNaYzLueBZehjME1BqsTUJbKcB8f+/v/CRfvu5cXvvY1ln98DL/VwXd8HCnxpaIqewjHkDqGWKRYkYJOM3JakcUPeig2PaYZLVTmBNgOY1LiXoeSlUwUhji1sYExFlKDdSAxmk67QxxGVPyA3/yVT/Ir73+c5048wxe/+SeIQpHD/XWaUcx6T3N+bpHllXUc4zG8Z4pDM5PM7hlhcLROuLCB2wSkgzAuNrk+Tpy85swWdRwwODDARz7yYb78pS+zurZG1AtRyuHgHXdQrVbZ2Ngg8H3q9Tqu6+bHvfQGTsbsKGw2s3kQOI5CKYXvBniuizGG7ra60570cZQDvsNg1aW8zyPel1BQCs9atI6Rnstcp4e/usbY/juY2LOHuBsRhl06YY/QSno4+KV+2iIgTWOaJiU2kjBNSYTECIV1PITjEKUJMol3xBG2Wm3anS7WGuIkoReGdMJFSrntLoz2srKywLX5awwM9LNv/wGktDQaa4S97GSz2W5jbGbasLki1GlWJ7vXZGiwjucHTI2NMTQyRKfRREsHJX92jsjbTBFm6Osb4OChQ5x89TjGZlRBxoDWAscJkFbjFwMcL6Ld0Xi+gpqP60K3F2Gt4Z777uTxDz1BvX8AgZOzhsgtN78RgjsOH+IHf/F9lhYWGRwb3UH19Edf/QobzQ2EkKyEMYcnBnCkIbaW5uWLEMWkUtFqrhPHKUkvouoqbB7L1ws7+J6P8lxck8WR9ULD4GiBYd+h6HrUqgOEvZCN9hoVx+fBw7O4aYtq8XrmQqPRYHlhEd91uTJ3hTDsZpMhn0jl8maMoNgKqQEyD3JznVqtyvz8As1mk06nzeE7DjK7dy97Z2fphj3A8uDDD3PPvfdRKJfoNFscPXqUU2fPMTw8fEO+b16QnsxbLK3FCEuCRiG4ePosX/nKn/CJj3+C//if/rc8/dWvcvyPvkbn8hXKRhD2DGbxMqW7ZlFCoqRCb4XObLLubLKJ3+gd3fk+iXrEvZiLC6ucOHcpmyz5Z67jYPN4SSyUikUG+vop1qqMTE6z1tOcePVVRvqqeL6D9IoIIeivlVBSMjs5xp6xUQ5MjrOxcZUg7bF3ZIhuqqgWPNQNmSWwc0doBdx79z2cOvkGTz31FKVSiYmJSUZGxhAIfNel2+viSInOs4GUlHhuNh1d18XzPAqFgEqlnL8uUCqVCHyfwPfx82tBEPD5z38egEJ1FOW5xDalZFOGSgOsdtdZW1vjWqtJajXFoEBiMmb201cu0UhihPDpRTGJToiSBNcrM1YYotsJMVhi18e6AYlbgiBAeBkvoyiU6OkU0e3soGZ98cRJOmFIrRAwNTrA5bnLJEnCwtU5ABbnp1heWqLdbjM8OMTo2ATFgscrL7/Myuo6ulAgSVOSOCGKQuIoO+kUCx71WpFSqUDPd1mcv4LrOEyPDlKtVGj0IhKjEe57Pdc4hxCwZ2aWodFxVpbX0GFCaiDRblacxpV4vqIgu8RpglAp2nawUlOqBxyauYOPffxjDI+NopwCSno4ysciiPI4uziOKJVKHDhwgKvXrjE4OrJjMK9cWUC4HmcunGd6/x4m6lVEukyr0aG1vkHRTVlYa6LDkFLg4zuSgrKkqSFwBZVajZGhfnRQ4tUz54l6PaqVOsq1BIUC3/r2d5hbbzO3fBXhSarVgPs/8ChRb51K2d+Sw3Ecvv3tbzN/9Rr7ZmfZs2cKgHa7zeXLl6nX61QqFRzHzfKFc6fCpcuXCMMOBw4cwPPcLaPz2MgIlVKZvv4+JvdMcfDgQWZmZrN0KW0ICkX+53/xv7K0vMxdd921o182a8pswqCwSLSE1Gj+w5e/zr/+wr/n1Omz/M4//oc89Dd+jTseuIunv/Z1zv3oOZavLbNmLffW+rI0SGMQjpPt5Hj70JAb2T97ccxiq8OrcwssduNsEdsWbmKyqGyczLWG9BzwFINjo0zvPcCzZ+e5tNrGE6DNBlLAzPgI+/aMIaIWNgwZDApcOHsauzDHvvFpmrVBHFUidq8b42+mCH3f56Mf+QjtVoter0dfvQ8lBNVqlYnxMZRSWfhTEGS8lYUCnudt9bnjOniei+97SCkzx5GUuR1x0/mzc5f88uuv0G03SVpNStUizUaL1sUl6Ea4Q3XqAwOsL17iyvIcy2vr/OjHxxgaHqNc7adYqrK6vkKaRMzu3c9grYmJemx0Oix1OtT6SoighAiKWBTWQBqn6G6IZWdu/KkLc5lTRyhqpYDJ0UFeP32RlYWMne977SZRFBGFPdrdLu12hzSOWF1eYX11mbjbymqgiCwkyGIJXJdq0aG/UqBaLSH6K1ydXyXptfC8UcIwyti0N0152ZbJAAAYXElEQVQJPyNuS0VorWV0fIJHH3uC5aVVlvRCHlwNYRwTuE5OEe4S+D5hLNA6xfEVgyMjfPLXfo277n0frl9GOj5KumCz47GbH/WiMCRNUvbu3Yu3tIgxZocH8IkP/RKf/PUnuXDlKn0DBa7+2b8hWe0RNdo4Os7Ybnpt+gouHRtRKQWM9ZdIejGVSkCpJCkWIRaavlqJDW3wCopSxSGRPtcuLLC42qJWrmScalrw/edfZKBcZGa0f0uOer2O1ppnn30WrKFazcJZoiji+PHjVKtVBgb68YNMeW4qwsXFRZSS3HnnEUqlMteuXcPzPAYHBojCkMmpKR77wAeo1epYk2WKZCU0BYcOH+bQ4TdXstsskLVVIRBAZ/Fdaytr/OSFF9BhxPe++z1eeOlF7jh8gMH+GgVg/yP38ct33c2pS1epHpwhrfhoafDYJDc1W0Szb94NvhmtVHN6ZYn5RgN09hd6s4yAyMZQsVDA9LqUi0WqtRq4LrVKncOzB6gGzxNGXRxH0VepUymX6K+WqZaKVH3Jgalp0maT3tJVRm1MWSkWrINMFEW3tCXHzYhZrTZMT07x27/12yRJjCCr0ex6Lq7jIpW8bgPdZF0S18e/NRZjNUbr62zgaZpRUwixlZa3/XcvXnyDepoyut5j+MA0ziOH6LvnEJVXrzF0xyyj9x3h+3/0Dc4tXsJYhTaSVqcHso1fLNFst+i1m0yNjiHSLoFjUY6LWyzjVetEVoETgM7LsSoX1/Uzg/w2dOOQKEpo54HPvq+oFF2idmaWWpq/RJoaCgWflcUFnn/uGJ3WBmG3xeR4lubpeVn4kef5uLn90vf9jMNTSoSU7C/2IaSiF8aI1CKUh4tAvAutdlsqQiklnh9w/wPvo9lo8uff/DPWl1eIY0scZ4MkTQ1Ga7QRxBqMUZTrfXzwwx/j/gcepVgawPG8fHBJTJ6r6uTxaML3ScIIRwgmJiZI2TmY/7PPfpbJmX28H4kxbb709DeYvxzTV0zwHBcRpfSVFPViiaUVCMMeVjsooREyRRUCasP9rHbAKBeUwC04VKplkkIfw5EhjFJ6ccL0+CTtXotTb1xEppb4jsktOer1Og89/DAvPP98xh7j+1t1fk+cOIHWKUEhOxrv3TvDPffcC8Arr7zM3r0z2XEq8Ol2O9kxTBuarSajIyPUqlW01iix6R22ecZBisWilNphIxRbczVjJRY6pbE0T6fXpN1p85m/9evMDo/w1NPPsLC0xI8Xr9FXrzFUq/Pi889zdXWFPZN7mR0dp6gNlsyDa4F2t4dTKiNkXjRoSxluVlTbucw3uzGNTkSSpFit85olmS0tDHs4jk+tVEVVU/bPTDMyNgaejyPgyP4ZHrv7IMdO/ATf9zgyO87EyBCe51NwYHa0H5J1nn3pRWKjKVUDqkWB9qCR9HC3jZOfxlBdrVR2fGd7tUVrbeYAuQnzghA2Z8OW2/Sk2HrcmJL3X/3+f0nl7Bx93/kJ5XoN7+FHcZKY06f+mMsXT/FafJGn514kUhopFYViiUKxwEZzjb7hAQ4c2EevvUGx4HLp4jmWFxeoD9cZn5yiUO2n2UsxQqFFFsYic2ab7dUhAYQRCKHApnSjCJ0YxkZGGR0ayj7PGYW01oRRjLYRI8N9HDk4Q7lYwiIwkNdgdpBCEicJrpstIhaLNoY0N31cLwVrSEwK8TtPS9zEbaYIMzaYjDvKpVoZ4v2PPsba2hJPfe8viLsRruuhrSXWlm7XoHV2U+JEMjU4yf5Dd2LdIiEevvBwRTY5hLJZHGY+dhzlgm+Iwh7SSqRwtsIXAES8xsnnTiGEpDa+n6nD93Pt9WeRNsWIImEYUS26uEoThy7zrQ5xFFMueRTKPtX+PiiUOH16jkj41IYG8AMXIR36Rof58OEDnHz+dV4/eZ5i4DMzO8Ubb5zmytw1Fqs7Mxc+8MQTOErx42ee4cfHjjEyPIxUil4U0W610CtZFbcDBw4ykIeZ9PUNcN9991MqlbHWEsUJru8jPY/UWgqFYraD2raaWyuyOiBW3lCOJ4dOsCbF5vnONo64cOksLz13jE5jnbLnsb/fofD+ozTabXzfJyhk7MKry8u0zp1mvdfmXNWheeE4XrEEskRtoEY37VKo1RidnMEtFHGEwiYWYyWFauVNR+M01ZjUYLUh1SkKtbVD2gzFibwEKeHe++5jYHwc63kgBIcPHuC3/u7fZN/0OC/+5ARO3KHmDlKr+mAtS0vLPPOD7+GLlJmJMcoDJQK/iDAp2sTXS2OzM3zmRmxO0M20x62xJcSOBebm2KTEv/4u2+5eD6ze/rsPjcywdGGRS1ev0Ll6CdGvuLKyzvPHj3PJi7h0okVgJN0wwfUc+gb6aLWbxGmXVHe4cnUeqxMkmgtnLiOs4sChfWglmQx8kjBE5g7HKE2QyqHTzuzizraA98hAiiS1gigFKxRCWoqlbCddqZS37oGSCikUylEZ9Rr5midkxrupswqHysn6LtF5XGFe+VDJLHUUKXMmqZ9dCcJtpwi3EYELiVWSoFLn4NF7WVzbYO7CJRoLa6ytNuhZQ2yylDxSjcLhyqUGT333OO9P++kfC3DdhKJvCHwfz/NwlLqeGy4M0vFwA4s1CoHKVrEcl157jivX5jh9+Qoz9zzCzGA/xaFxjF7LSEFTjSMdPGVxXIMxKQaXylA/5UoRI12uLHboJR4aiyr5dKMujV5KHcVdBw/TrwpMH9rL62cu4krBk5/6FH/6zW+x2r5e01gIQf9AP7/667/G4x98gn/+z/4Zzz33HLVajd/4W3+bvr46G6trtNttpqenqdTqADz5G3+DcrlCGGXsM+fPX6YXxXTTlNgYJoeGUcrNQ1Y2fwtyLpS37BtjsqMaeUhDkhiiRCL8CvXxOjMzUwyPDCGlh5SKIAgIw5B2q41JNUpKiqUArMaiwYAJLbobo5OIRneZql8nqFsavZCXXzjBlbl57n7wQfYfOfImebLJdN1GtxnW47ouQgkSHTJSr/DBD38Qr1LOlLcQFAtlDk5P45uEgaLD5blLrC9cpUhMoVRCeBJZLNBoNnErg/QNDGCTkEZzHX9klE0WGXh7RQi87W5x+3feGiJTCDf77AYc/+73Wbx0ijN2DTs8SNJZZ76zTvfwHirKcqDbo2Qky41VltbXGRsfxVtXdK9tEAQCa33SRBJUCnTSGIlLrKARtxhREUZ0sqZri7AaiYdysmPr9ja0wxiLQJvMxieVIig6iHyjYUwW3aCUQqKQSuYRCdfbZsyNRW2zk6AUeXidVCQ6vX5uyKMqRHZD3/Z+vxV+qiIUQnwB+BSwZK09ml/rB74MzJDR8f+mtXZdZD3+vwCfBLrAZ6y1L/0sAm2FIUiLsZZIg1ccYmbfvbSbmrX5Lq3OOqJUwPqWTm8DlcD44BASlzdefoM09Xno8Q8zMDxEmxSlsiNlIfApBFln+F5mkBZbK7PY9hqeOfYi7ajHUhhz5tgPEKnhkFvCN23SRINfZL3bRqgyxVqJ2qhFVQISv0RXePSamvm1Lo5bpLmxTMEvIazHRjclXtjgT7/+LZrra5Snh4hEyvmXX0Uph8mpcVZW31yFy1pLtVrlt//BP2BgcJCNjQ2efPJJpqenMUlKFIYkyXW+RWOzgjyFQoHzFy7w/aeeQipJt9fFArOzs2/6jZ8Gz3V37GQKfpFHHv8gDz/xIRIBTqGA4/tII7Z215ntEYTNvMxZAq0mrwZPRlEdo02EsQLwsdbiBxEHDh2lb3AcKT16Nxa8FxlDTeZUuO5QMCZj3FHCYpOIyeG97J2cwqYJAg2YzBZqBX3FAncf2INPwuVLF6h4gtGBMi1t6BvpY7G5zpVWm73OBIGU+H6PQtmHbeVWb6fiTU+de5VecwVn7wjlwVFiCfWay2B9GFeoTLE4ko3uKC+8eJzBgSozM2OUqw6aiHLNx3HKWS1wRbbDCiB1YhqdJZI0QiQ2C7wWCmNiSF2kUlh7XZXo3JGzmSlUCAKUdLYUlMiP9VGU2U4dN/vMaJPZTredUqQUOFJircxo3aTMmY/yGMNNbsfcKSYQOwgg3ineyY7wD4B/Cfzbbdd+D/iutfa/F0L8Xv7+d8kq2h3IHw+TlfZ8mHcMmfGm5St7r5tRzF+Zu0xjY5Uk7NBrb+AIzfTkOGN7p+l1e6yvrDA9OYXvQhiHrDTneOPCcR4c/ACCArG2hHFMu5vi5WRyfuDgeQrXU3ieg+MqPHV9kn/vuVcolkv0TU8z31jl0tnzrHuCx/dUqUgwyqdQdSmXS0RaM6AgRtOILY62rLdCVLGPmlvk4rnzkEZUK2WiNOXiqcu8cvYEnlAUL1SJjaZxbY2V1XWGR0ZYXVvbcVe2l7mcmpzkc5/7HFrrLAZN6x1OHpPTVVmbrcRCChzPo1ytsLi4yMsvvwzAZz7zmW22lXc2iaVSONuOH8ZmmSUIJ6s6Jx1IBUZJbJ5/a2V23JFZcsAN8YACQ5bmhhIIKxHCx0iLHwTM9g+xqa7fcmhLiSFjwTE6s2mWy2WiMCKNY3phDxOGSJNAmubRP5kSNkbjKYdAeURhj3qxyEilQsX3SZII5Qm0Z2l1NojiiGopoFosEUfZCWQTt5MivLRwBd8Fm2paa8sZQ7iO0FKhZZY658gA33dAJ5QDl33TU3gu/OilZ1hbWKdWqeGrItamCCFpNpdAtWg3r5AmGilcCoXSFnek43q4rps5JHNYC6nJaOCUyk5bOtVbuzdXKRzlkCRZloyxJnMgOU5+1M3z/jfva26/FgISnVU83LJXi834X7HN9vqz37ufqgittT8QQszccPnTwIfy1/8X8H0yRfhp4N/abOY+K4So31DV7h1DWMHlcxc5duxpkrRHX73ESN3BPziBVB7zq2uY1WXGh0cYqhXppjFrvZhiqcbk9Dgje/aRSAcnJ141kBMPZP+/F4cIYVCOoFBwKFeKVMrXO/Pa8gblULMeXmalu4FuWS611nhgpITprrHSsfT39+MXFe31JtpIkB5xlNI1CdIr4pdqjI6MEEc93vjJq2g8vIKgPDjIyJBL3OnRW2szNjlK6rWpFErErTa21915L7ZNsiRJEEJssZ7A9RoZQoiMEQbAZk4HDIyOj/GxX/olvvCFL/AHf/AH/O7v/i79/f1vcyR7a1jpZpT6m7t2kSmhzcwPJbNxabZo9OxWoK2wYjNEmu08exkxuATrbJVNEPl3rM7yjzfjFm+8JyY3mAupKHlFXOVQdItU/DJxFBIrSbHgZxTxIiMtFUKjTYJNQ6Kwx/zKKvONdWyvQ3+nREtbrBvgiYChaj8jpQqkhl6UoLUljmNqtcoOOW5V1bobMT02irExURhhdBaPGUaaVrdHHMdIKfGDgOX1Bo31Fivzy9jEsrS2yupim0a3h41dAtcirEInKeurq3S6We53FCfZ/1UZbZvrOtTrVYrFAml6PbYy1SbPlsmIHkxO2SY2F3Rjst2845DqlEQnSCXx5HXTlRTX+9xYk4dYaRKdvd6821ncblbt0OYOz3dD+v1ubYQjm8rNWjsvhNisAj4BzG373pX82psUoXiLAu87J4lgdnY/5XKBK1cvsbR4FbdUYWSmTFAoYa/Ns7K0gdPtoAoeiTXsu+Mos7NHGBwexS2UwMImmbixBqMN1mwqCpl5LaXAaE0SR6TpdYrvMI6I1zXzr5zCUQJUQKnikVhFp9HhtcsbVBua9VaLJInBcRkZH8b3fITj8srZORpXzpAkMYfvuZvF5Q3On59jsK9IpZRwZP9euo0GrieZv3aNuudRKfgEgUdZGk7wZggh8DzvbXcgb3XdlS6f//znueeee6jX63z6059+VxPXimygWpFbEaXIqK5FpgGNsCi5uXvduYfLVNy2d3bzis6Py7m3WBqEVQi76T0GyZu9xkplzC4jIyP01weoBBUCz8fbjLfDoOMODz36Psr9AxjXQygHYQxWKkKj2Ugj1pRAD/ZjOj7O+ATd0BCmEh30URtxmBidxKmW6aUxtuiipUu73dqSo1Kp3PS+/3XDUxaLxCsVcJ0C7W7Eyto6YV7PxvMyMoROu0OlWKRaLmG1Jg5DPOFTCfqxsabdaeM5DmmaIrRBmizQPQ1Twl5MFCcoVxAELkLH6DirgbOJOEkyBnNyijOlkEJupX96joujFEL4OYtOShKHmJxMQihva6d9PZQoixKx5I6mzfEgrpdTtbnS/SvZEf6MeKvR8JZi3bzAe64IJRQqFfZUDrFn3yFarSara8usrqwghOABx0FbieO6GG3wA4+R4QmUyhg/MmVxXaQsXcdshdFs2jCUkiA1xiS42yjyh31BqeQzEkzx+ulL9OIeTVezFhv27DlA49JrvHFmntdOGwb6qkxM9rNycZ4Ul7vuvpuT568RG8Oh/VOkOuGXP/UpnvnhMU6+/BJusYtI5hkfGWBjbY2peg1vdJRrS6v0l4sM3sCA/KabfGPM2tv3CdZapqen+dznPrfj2s86eR3PBaOyldparBA4Ypv3UghQCsU7THGysKUirc12DELkcWlic1OZ4QZRx8fGuPvuu9m/fz+9Xoiw4Hs+gedl9kmjUWgefOBuvL46JvcqogQmrqD7hpCez+jQMNHYKK7WDNcGaPUitJWUel0mCz6jpRom7FFwHWwSo0mJwutH40KhcNscjZsba2irkcpD6w6LS+sZsUO9klFsFQsICYWij50ZZXSon3K5wsSeIaZmpjFW0OpssLK6hO8F+H6AV8hiH+M4pt1qsbHRoNUOMUaT6AgSiNopcbhz4XNUtpg5UuLnlGTbAmyyhTILYMXqLKQoSrqkSUwcZ3WPRe5Vzo3MCClQyMyRmis8u5mHvS0sSWyL/njH2B7TdLMHmVPk1W3vTwFj+esx4FT++v8A/u5bfe+n/H+7+9h97D52H38FjxfeiY57F6oTgG8Afy9//feAP952/T8VGR4BGu/GPriLXexiF3+dED/NYC6E+CKZY2QQWAT+G+DrwB8C08Bl4G9ba9fy8Jl/CXyCLHzm71trX/ipQgixDHSAlXfdktsHg/x8tAN223K7Yrct7xx7rLVDP+1LP1UR/nVBCPGCtfZ9t1qO/7/4eWkH7LbldsVuW/7y8W6PxrvYxS528XODXUW4i13s4hcet5Mi/D9vtQB/Sfh5aQfstuV2xW5b/pJx29gId7GLXeziVuF22hHuYhe72MUtwS1XhEKITwghTgkhzuYEDu8pCCEuCiFeEUKcEEK8kF/rF0J8WwhxJn/uu9VyvhWEEF8QQiwJIV7ddu0tZc9jQ/9F3k8vCyHuv3WSvxk3acs/EUJczfvmhBDik9s++6/ztpwSQnz81kj91hBCTAkhvieEOCmEeE0I8Tv59fdU37xNO26/fnknUdd/VQ9AAeeAWcADfgIcuZUyvYs2XAQGb7j2PwK/l7/+PeB/uNVy3kT2J4D72Zk19Jayk1GrfZMs2e0R4Nitlv8dtOWfAP/FW3z3SD7WfGBvPgbVrW7DNvnGgPvz1xXgdC7ze6pv3qYdt12/3Ood4UPAWWvteWttDHyJjMHmvY5Pk7HykD8/eQtluSmstT8A1m64fDPZt5iFrLXPAnUhxNhfj6Q/HTdpy83waeBL1trIWnsBOEs2Fm8LWGvnbc7jaa1tASfJyEveU33zNu24GW5Zv9xqRXgztpr3Eizw50KIF3NGHbiBnQcYvulf3364mezv1b76bH5c/MI2E8V7pi05Bd59wDHew31zQzvgNuuXW60I3zFbzW2Mx6y195OR0v4jIcQTt1qgvyK8F/vqfwf2AfeSUcH98/z6e6ItQogy8FXgP7fWNt/uq29x7bZpz1u047brl1utCK8AU9veTwLXbpEs7wrW2mv58xLwNbKt/OLm0SR/Xrp1Ev7MuJns77m+stYuWmu1zcgR/xXXj1m3fVuEEC6Z8vi/rbX/T375Pdc3b9WO27FfbrUifB44IITYK4TwgL9DxmDznoAQoiSEqGy+Bn4ZeJWbs/O8F/Bzwyx0g53sN8j6BrK2/B0hhC+E2EtWWuK5v275boacvORfAyettf/Tto/eU31zs3bclv1yG3iWPknmTToH/P6tludnlH2WzMv1E+C1TfmBAeC7wJn8uf9Wy3oT+b9IdjRJyFbj37qZ7GTHlv8t76dXgPfdavnfQVv+XS7ry2STbGzb938/b8sp4Fdutfw3tOVxsiPhy8CJ/PHJ91rfvE07brt+2c0s2cUudvELj1t9NN7FLnaxi1uOXUW4i13s4hceu4pwF7vYxS88dhXhLnaxi1947CrCXexiF7/w2FWEu9jFLn7hsasId7GLXfzCY1cR7mIXu/iFx/8H07Y5+ahqYOoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images, labels = iter(train_loader).next()\n",
    "imshow(torchvision.utils.make_grid(images, normalize=True), \"Train Image\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Load Holdout Model & Save Adversarial Images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = Holdout()\n",
    "model.load_state_dict(torch.load(\"./checkpoints/holdout.pth\"))\n",
    "model = model.eval().cuda()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "- Save Progress: 100.00 % / Accuracy: 0.22 % / L2: 1.44990\n",
      "- Save Complete!\n"
     ]
    }
   ],
   "source": [
    "pgd_attack = PGD(model, eps=8/255, alpha=2/255, steps=7)\n",
    "pgd_attack.set_return_type('int') # Save as integer.\n",
    "pgd_attack.save(data_loader=test_loader, save_path=\"./data/cifar10_pgd.pt\", verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Load Adversarial Images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "adv_images, adv_labels = torch.load(\"./data/cifar10_pgd.pt\")\n",
    "adv_data = TensorDataset(adv_images.float()/255, adv_labels)\n",
    "adv_loader = DataLoader(adv_data, batch_size=128, shuffle=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Attack Target Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<All keys matched successfully>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = Target().cuda()\n",
    "model.load_state_dict(torch.load(\"./checkpoints/target.pth\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.1 Clean Accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Standard accuracy: 87.26 %\n"
     ]
    }
   ],
   "source": [
    "model.eval()\n",
    "\n",
    "correct = 0\n",
    "total = 0\n",
    "\n",
    "for images, labels in test_loader:\n",
    "    \n",
    "    images = images.cuda()\n",
    "    outputs = model(images)\n",
    "    \n",
    "    _, predicted = torch.max(outputs.data, 1)\n",
    "    \n",
    "    total += labels.size(0)\n",
    "    correct += (predicted == labels.cuda()).sum()\n",
    "    \n",
    "print('Standard accuracy: %.2f %%' % (100 * float(correct) / total))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2 Robust Accuracy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Robust accuracy: 63.75 %\n"
     ]
    }
   ],
   "source": [
    "model.eval()\n",
    "\n",
    "correct = 0\n",
    "total = 0\n",
    "\n",
    "for images, labels in adv_loader:\n",
    "    \n",
    "    images = images.cuda()\n",
    "    outputs = model(images)\n",
    "    \n",
    "    _, predicted = torch.max(outputs.data, 1)\n",
    "    \n",
    "    total += labels.size(0)\n",
    "    correct += (predicted == labels.cuda()).sum()\n",
    "    \n",
    "print('Robust accuracy: %.2f %%' % (100 * float(correct) / total))"
   ]
  }
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